method_of_moments.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# USING METHOD OF MOMENTS TO PREDICT DATABASE PERFORMANCE METRICS"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This article exploits statistical technique method of moments (MOM) and generalized method of moments (GMM)  to estimate database statistics from the past data. Both GMM and MOM's are parametric  unsupervised form of learning. I am restricting this to Oracle Database in this example, but it can be extended to any database system.\n",
    "\n",
    "We initially select a distribution to model our random variable. Our random variables in database statistical parameters could be any statistic that we collect say in AWR report. To start our analysis, we collected AWR reports over several months. We then scraped these data and stored our metrics in csv formats. I have presented some csv files corresponding to these statistics in my github page.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Parameters Of Interest"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lets say we want to use the method of moments to predict the following AWR statistics for the database Load Profile in AWR statistics. This is given in this section."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from IPython.display import Image\n",
    "import pandas as pd\n",
    "import random\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.stats.kde import gaussian_kde\n",
    "from plotly import tools\n",
    "import scipy.stats as scs\n",
    "from scipy.stats import *\n",
    "from scipy import stats\n",
    "import plotly.plotly as py\n",
    "from plotly.graph_objs import *\n",
    "import numpy as np\n",
    "pd.set_option('display.max_columns', 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmkAAAG+CAYAAADIopPYAAAKpmlDQ1BJQ0MgUHJvZmlsZQAASImV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\nRU5ErkJggg==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename='images/load_profile.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Reading our historic load profile data in the dataframe."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>site_id</th>\n",
       "      <th>config_id</th>\n",
       "      <th>run_id</th>\n",
       "      <th>stat_id</th>\n",
       "      <th>stat_name</th>\n",
       "      <th>stat_per_sec</th>\n",
       "      <th>stat_per_txn</th>\n",
       "      <th>stat_per_exec</th>\n",
       "      <th>stat_per_call</th>\n",
       "      <th>start_time</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>37</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>265418</td>\n",
       "      <td>Global Cache blocks received</td>\n",
       "      <td>4467.21</td>\n",
       "      <td>16.36</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>03-OCT-14 08.00.00.000000 AM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>37</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>265427</td>\n",
       "      <td>Transactions</td>\n",
       "      <td>274.49</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>03-OCT-14 08.00.00.000000 AM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>37</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>265410</td>\n",
       "      <td>Logical read (blocks)</td>\n",
       "      <td>291880.19</td>\n",
       "      <td>1064.87</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>03-OCT-14 08.00.00.000000 AM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>37</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>265419</td>\n",
       "      <td>Global Cache blocks served</td>\n",
       "      <td>4467.02</td>\n",
       "      <td>16.34</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>03-OCT-14 08.00.00.000000 AM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>37</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>265421</td>\n",
       "      <td>Parses (SQL)</td>\n",
       "      <td>1131.04</td>\n",
       "      <td>4.14</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>03-OCT-14 08.00.00.000000 AM</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   site_id  config_id  run_id  stat_id                     stat_name  \\\n",
       "0       37          1       1   265418  Global Cache blocks received   \n",
       "1       37          1       1   265427                  Transactions   \n",
       "2       37          1       1   265410         Logical read (blocks)   \n",
       "3       37          1       1   265419    Global Cache blocks served   \n",
       "4       37          1       1   265421                  Parses (SQL)   \n",
       "\n",
       "   stat_per_sec  stat_per_txn  stat_per_exec  stat_per_call  \\\n",
       "0       4467.21         16.36            NaN            NaN   \n",
       "1        274.49           NaN            NaN            NaN   \n",
       "2     291880.19       1064.87            NaN            NaN   \n",
       "3       4467.02         16.34            NaN            NaN   \n",
       "4       1131.04          4.14            NaN            NaN   \n",
       "\n",
       "                     start_time  \n",
       "0  03-OCT-14 08.00.00.000000 AM  \n",
       "1  03-OCT-14 08.00.00.000000 AM  \n",
       "2  03-OCT-14 08.00.00.000000 AM  \n",
       "3  03-OCT-14 08.00.00.000000 AM  \n",
       "4  03-OCT-14 08.00.00.000000 AM  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df=pd.read_csv('data/TMP_AWR_LOAD_PROFILE_AGG.csv', sep='|',parse_dates=True)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can we have the data for several statistics viz. Global Cache blocks received, Transactions, Logical read (blocks), Global Cache blocks served, etc from the AWR load profile start from date 03-OCT-14  until 02-NOV-15.\n",
    "I am interested in forecasting only stat_per_sec information on this AWR Load profile, so using pivot function in pandas we get the following reconstructed dataframe.      "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>stat_name</th>\n",
       "      <th>Background CPU(s)</th>\n",
       "      <th>Block changes</th>\n",
       "      <th>DB CPU(s)</th>\n",
       "      <th>DB Time(s)</th>\n",
       "      <th>Executes (SQL)</th>\n",
       "      <th>...</th>\n",
       "      <th>Session Logical Read IM</th>\n",
       "      <th>Transactions</th>\n",
       "      <th>User calls</th>\n",
       "      <th>Write IO (MB)</th>\n",
       "      <th>Write IO requests</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>start_time</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>01-APR-15 08.00.00.000000 AM</th>\n",
       "      <td>2.34</td>\n",
       "      <td>7171.66</td>\n",
       "      <td>8.34</td>\n",
       "      <td>21.33</td>\n",
       "      <td>7295.85</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>342.13</td>\n",
       "      <td>3172.36</td>\n",
       "      <td>7.38</td>\n",
       "      <td>791.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01-APR-15 10.00.00.000000 PM</th>\n",
       "      <td>1.88</td>\n",
       "      <td>5829.02</td>\n",
       "      <td>5.75</td>\n",
       "      <td>14.98</td>\n",
       "      <td>4943.24</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>243.01</td>\n",
       "      <td>2288.04</td>\n",
       "      <td>5.59</td>\n",
       "      <td>603.88</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01-JAN-15 08.00.00.000000 AM</th>\n",
       "      <td>NaN</td>\n",
       "      <td>1746.34</td>\n",
       "      <td>1.80</td>\n",
       "      <td>4.07</td>\n",
       "      <td>2277.13</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>139.59</td>\n",
       "      <td>970.47</td>\n",
       "      <td>1.61</td>\n",
       "      <td>162.10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01-JUL-15 08.00.00.000000 AM</th>\n",
       "      <td>2.07</td>\n",
       "      <td>6530.64</td>\n",
       "      <td>6.92</td>\n",
       "      <td>18.46</td>\n",
       "      <td>6485.98</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>334.05</td>\n",
       "      <td>3064.53</td>\n",
       "      <td>6.76</td>\n",
       "      <td>721.93</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01-JUL-15 10.00.00.000000 PM</th>\n",
       "      <td>1.80</td>\n",
       "      <td>5853.14</td>\n",
       "      <td>5.19</td>\n",
       "      <td>14.20</td>\n",
       "      <td>4787.97</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>259.02</td>\n",
       "      <td>2370.28</td>\n",
       "      <td>5.70</td>\n",
       "      <td>606.48</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 24 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "stat_name                     Background CPU(s)  Block changes  DB CPU(s)  \\\n",
       "start_time                                                                  \n",
       "01-APR-15 08.00.00.000000 AM               2.34        7171.66       8.34   \n",
       "01-APR-15 10.00.00.000000 PM               1.88        5829.02       5.75   \n",
       "01-JAN-15 08.00.00.000000 AM                NaN        1746.34       1.80   \n",
       "01-JUL-15 08.00.00.000000 AM               2.07        6530.64       6.92   \n",
       "01-JUL-15 10.00.00.000000 PM               1.80        5853.14       5.19   \n",
       "\n",
       "stat_name                     DB Time(s)  Executes (SQL)        ...          \\\n",
       "start_time                                                      ...           \n",
       "01-APR-15 08.00.00.000000 AM       21.33         7295.85        ...           \n",
       "01-APR-15 10.00.00.000000 PM       14.98         4943.24        ...           \n",
       "01-JAN-15 08.00.00.000000 AM        4.07         2277.13        ...           \n",
       "01-JUL-15 08.00.00.000000 AM       18.46         6485.98        ...           \n",
       "01-JUL-15 10.00.00.000000 PM       14.20         4787.97        ...           \n",
       "\n",
       "stat_name                     Session Logical Read IM  Transactions  \\\n",
       "start_time                                                            \n",
       "01-APR-15 08.00.00.000000 AM                      NaN        342.13   \n",
       "01-APR-15 10.00.00.000000 PM                      NaN        243.01   \n",
       "01-JAN-15 08.00.00.000000 AM                      NaN        139.59   \n",
       "01-JUL-15 08.00.00.000000 AM                      NaN        334.05   \n",
       "01-JUL-15 10.00.00.000000 PM                      NaN        259.02   \n",
       "\n",
       "stat_name                     User calls  Write IO (MB)  Write IO requests  \n",
       "start_time                                                                  \n",
       "01-APR-15 08.00.00.000000 AM     3172.36           7.38             791.23  \n",
       "01-APR-15 10.00.00.000000 PM     2288.04           5.59             603.88  \n",
       "01-JAN-15 08.00.00.000000 AM      970.47           1.61             162.10  \n",
       "01-JUL-15 08.00.00.000000 AM     3064.53           6.76             721.93  \n",
       "01-JUL-15 10.00.00.000000 PM     2370.28           5.70             606.48  \n",
       "\n",
       "[5 rows x 24 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df=df.pivot_table(index='start_time', columns='stat_name', values='stat_per_sec')\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index([u'Background CPU(s)', u'Block changes', u'DB CPU(s)', u'DB Time(s)',\n",
      "       u'Executes (SQL)', u'Global Cache blocks received',\n",
      "       u'Global Cache blocks served', u'Hard parses (SQL)', u'IM scan rows',\n",
      "       u'Logical read (blocks)', u'Logons', u'Parses (SQL)',\n",
      "       u'Physical read (blocks)', u'Physical write (blocks)', u'Read IO (MB)',\n",
      "       u'Read IO requests', u'Redo size (bytes)', u'Rollbacks',\n",
      "       u'SQL Work Area (MB)', u'Session Logical Read IM', u'Transactions',\n",
      "       u'User calls', u'Write IO (MB)', u'Write IO requests'],\n",
      "      dtype='object', name=u'stat_name')\n"
     ]
    }
   ],
   "source": [
    "print (df.columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Distribution Selection"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All of these database statistics are continous random variables, so we model using some continous distributions.\n",
    "scipy offers several continous distributions for the purpose of modelling, viz Gamma, Normal, Anglit, Arcsine, Beta, Cauchy etc.\n",
    "\n",
    "Once we have the estimated model, we can then use the Kolmogorov-Smirov test to evaluate your fit using scipy.stats.kstest. Lets start with the most popular gamma distribution.\n",
    "\n",
    "Say I am interested in Background CPU(s) information, calculating the gamma distribution parameters alpha and beta.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2.157353689567431, 0.23047410162538273)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_mean=df['Background CPU(s)'].mean()\n",
    "sample_var=np.var(df['Background CPU(s)'], ddof=1)\n",
    "(sample_mean,sample_var)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Alphas and Betas of Gamma distribution:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(20.19391727342622, 9.360503737092497)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "###############\n",
    "#### Gamma ####\n",
    "###############\n",
    "\n",
    "alpha = sample_mean**2 / sample_var\n",
    "beta = sample_mean / sample_var \n",
    "alpha,beta"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## MOM Estimation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using estimated parameters and plot the distribution on top of data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "gamma_rv = scs.gamma(a=alpha, scale=1/beta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Get the probability for each value in the data\n",
    "x_vals = np.linspace(df['Background CPU(s)'].min(), df['Background CPU(s)'].max())\n",
    "gamma_p = gamma_rv.pdf(x_vals)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>stat_name</th>\n",
       "      <th>Background CPU(s)</th>\n",
       "      <th>Block changes</th>\n",
       "      <th>DB CPU(s)</th>\n",
       "      <th>DB Time(s)</th>\n",
       "      <th>Executes (SQL)</th>\n",
       "      <th>...</th>\n",
       "      <th>Session Logical Read IM</th>\n",
       "      <th>Transactions</th>\n",
       "      <th>User calls</th>\n",
       "      <th>Write IO (MB)</th>\n",
       "      <th>Write IO requests</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>start_time</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>01-APR-15 08.00.00.000000 AM</th>\n",
       "      <td>2.34</td>\n",
       "      <td>7171.66</td>\n",
       "      <td>8.34</td>\n",
       "      <td>21.33</td>\n",
       "      <td>7295.85</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>342.13</td>\n",
       "      <td>3172.36</td>\n",
       "      <td>7.38</td>\n",
       "      <td>791.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01-APR-15 10.00.00.000000 PM</th>\n",
       "      <td>1.88</td>\n",
       "      <td>5829.02</td>\n",
       "      <td>5.75</td>\n",
       "      <td>14.98</td>\n",
       "      <td>4943.24</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>243.01</td>\n",
       "      <td>2288.04</td>\n",
       "      <td>5.59</td>\n",
       "      <td>603.88</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01-JAN-15 08.00.00.000000 AM</th>\n",
       "      <td>NaN</td>\n",
       "      <td>1746.34</td>\n",
       "      <td>1.80</td>\n",
       "      <td>4.07</td>\n",
       "      <td>2277.13</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>139.59</td>\n",
       "      <td>970.47</td>\n",
       "      <td>1.61</td>\n",
       "      <td>162.10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01-JUL-15 08.00.00.000000 AM</th>\n",
       "      <td>2.07</td>\n",
       "      <td>6530.64</td>\n",
       "      <td>6.92</td>\n",
       "      <td>18.46</td>\n",
       "      <td>6485.98</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>334.05</td>\n",
       "      <td>3064.53</td>\n",
       "      <td>6.76</td>\n",
       "      <td>721.93</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01-JUL-15 10.00.00.000000 PM</th>\n",
       "      <td>1.80</td>\n",
       "      <td>5853.14</td>\n",
       "      <td>5.19</td>\n",
       "      <td>14.20</td>\n",
       "      <td>4787.97</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>259.02</td>\n",
       "      <td>2370.28</td>\n",
       "      <td>5.70</td>\n",
       "      <td>606.48</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 24 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "stat_name                     Background CPU(s)  Block changes  DB CPU(s)  \\\n",
       "start_time                                                                  \n",
       "01-APR-15 08.00.00.000000 AM               2.34        7171.66       8.34   \n",
       "01-APR-15 10.00.00.000000 PM               1.88        5829.02       5.75   \n",
       "01-JAN-15 08.00.00.000000 AM                NaN        1746.34       1.80   \n",
       "01-JUL-15 08.00.00.000000 AM               2.07        6530.64       6.92   \n",
       "01-JUL-15 10.00.00.000000 PM               1.80        5853.14       5.19   \n",
       "\n",
       "stat_name                     DB Time(s)  Executes (SQL)        ...          \\\n",
       "start_time                                                      ...           \n",
       "01-APR-15 08.00.00.000000 AM       21.33         7295.85        ...           \n",
       "01-APR-15 10.00.00.000000 PM       14.98         4943.24        ...           \n",
       "01-JAN-15 08.00.00.000000 AM        4.07         2277.13        ...           \n",
       "01-JUL-15 08.00.00.000000 AM       18.46         6485.98        ...           \n",
       "01-JUL-15 10.00.00.000000 PM       14.20         4787.97        ...           \n",
       "\n",
       "stat_name                     Session Logical Read IM  Transactions  \\\n",
       "start_time                                                            \n",
       "01-APR-15 08.00.00.000000 AM                      NaN        342.13   \n",
       "01-APR-15 10.00.00.000000 PM                      NaN        243.01   \n",
       "01-JAN-15 08.00.00.000000 AM                      NaN        139.59   \n",
       "01-JUL-15 08.00.00.000000 AM                      NaN        334.05   \n",
       "01-JUL-15 10.00.00.000000 PM                      NaN        259.02   \n",
       "\n",
       "stat_name                     User calls  Write IO (MB)  Write IO requests  \n",
       "start_time                                                                  \n",
       "01-APR-15 08.00.00.000000 AM     3172.36           7.38             791.23  \n",
       "01-APR-15 10.00.00.000000 PM     2288.04           5.59             603.88  \n",
       "01-JAN-15 08.00.00.000000 AM      970.47           1.61             162.10  \n",
       "01-JUL-15 08.00.00.000000 AM     3064.53           6.76             721.93  \n",
       "01-JUL-15 10.00.00.000000 PM     2370.28           5.70             606.48  \n",
       "\n",
       "[5 rows x 24 columns]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Generate random colormap\n",
    "def rand_cmap(nlabels, type='bright', first_color_black=True, last_color_black=False, verbose=True):\n",
    "    \"\"\"\n",
    "    Creates a random colormap to be used together with matplotlib. Useful for segmentation tasks\n",
    "    :param nlabels: Number of labels (size of colormap)\n",
    "    :param type: 'bright' for strong colors, 'soft' for pastel colors\n",
    "    :param first_color_black: Option to use first color as black, True or False\n",
    "    :param last_color_black: Option to use last color as black, True or False\n",
    "    :param verbose: Prints the number of labels and shows the colormap. True or False\n",
    "    :return: colormap for matplotlib\n",
    "    \"\"\"\n",
    "    from matplotlib.colors import LinearSegmentedColormap\n",
    "    import colorsys\n",
    "    import numpy as np\n",
    "\n",
    "    if type not in ('bright', 'soft'):\n",
    "        print ('Please choose \"bright\" or \"soft\" for type')\n",
    "        return\n",
    "\n",
    "    if verbose:\n",
    "        print('Number of labels: ' + str(nlabels))\n",
    "\n",
    "    # Generate color map for bright colors, based on hsv\n",
    "    if type == 'bright':\n",
    "        randHSVcolors = [(np.random.uniform(low=0.0, high=1),\n",
    "                          np.random.uniform(low=0.2, high=1),\n",
    "                          np.random.uniform(low=0.9, high=1)) for i in xrange(nlabels)]\n",
    "\n",
    "        # Convert HSV list to RGB\n",
    "        randRGBcolors = []\n",
    "        for HSVcolor in randHSVcolors:\n",
    "            randRGBcolors.append(colorsys.hsv_to_rgb(HSVcolor[0], HSVcolor[1], HSVcolor[2]))\n",
    "\n",
    "        if first_color_black:\n",
    "            randRGBcolors[0] = [0, 0, 0]\n",
    "\n",
    "        if last_color_black:\n",
    "            randRGBcolors[-1] = [0, 0, 0]\n",
    "\n",
    "        random_colormap = LinearSegmentedColormap.from_list('new_map', randRGBcolors, N=nlabels)\n",
    "\n",
    "    # Generate soft pastel colors, by limiting the RGB spectrum\n",
    "    if type == 'soft':\n",
    "        low = 0.6\n",
    "        high = 0.95\n",
    "        randRGBcolors = [(np.random.uniform(low=low, high=high),\n",
    "                          np.random.uniform(low=low, high=high),\n",
    "                          np.random.uniform(low=low, high=high)) for i in xrange(nlabels)]\n",
    "\n",
    "        if first_color_black:\n",
    "            randRGBcolors[0] = [0, 0, 0]\n",
    "\n",
    "        if last_color_black:\n",
    "            randRGBcolors[-1] = [0, 0, 0]\n",
    "        random_colormap = LinearSegmentedColormap.from_list('new_map', randRGBcolors, N=nlabels)\n",
    "\n",
    "    # Display colorbar\n",
    "    if verbose:\n",
    "        from matplotlib import colors, colorbar\n",
    "        from matplotlib import pyplot as plt\n",
    "        fig, ax = plt.subplots(1, 1, figsize=(15, 0.5))\n",
    "\n",
    "        bounds = np.linspace(0, nlabels, nlabels + 1)\n",
    "        norm = colors.BoundaryNorm(bounds, nlabels)\n",
    "\n",
    "        cb = colorbar.ColorbarBase(ax, cmap=random_colormap, norm=norm, spacing='proportional', ticks=None,\n",
    "                                   boundaries=bounds, format='%1i', orientation=u'horizontal')\n",
    "\n",
    "    return random_colormap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of labels: 50\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1UAAAA4CAYAAAAVfdLfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nHoUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113725250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bright_cmap = rand_cmap(50, type='bright', first_color_black=False, last_color_black=True, verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of labels: 50\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1UAAAA4CAYAAAAVfdLfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAACBhJREFUeJzt3WuMXVUZxvHn6Q2oRCs0HYodaEFKoKTQCm0FsbbBhDSk\n1cSgRgEviTEqGGJUqBE/EsVrvHxRSioqhlRoNNS0IxZpI0yH3qbTq2grLWmnDUWa2ssU5vXD3hOP\n45yZSVd61mn3//fp7Nvq06zMfve7Z589jggBAAAAAE7PiNwBAAAAAOBsRlMFAAAAAAloqgAAAAAg\nAU0VAAAAACSgqQIAAACABDRVAAAAAJBg1HB3tM271wEAAABUWkS4/7phN1WS1Nbx2mn/40dO/Om0\nj+3z+vELk47/8MwxyRmeeevdyWOMPrg6eYyx7TcnHd/bMjY5w4wjB5PHWNXTlTzGxdNHJh1/yaiZ\nyRm8e1LyGK23rEweY+zma5OO/4f2J2c4ednk5DF2PpeeQx/Zm3T45V0tyRF6t1+ZPMbeO3cnHT+7\n85XkDBOm3Zo8xpqTR5PH0JFjSYff1JNWQyTp8PbzksfomH04eYwRR89POn72G28lZ3jbniuSx1h/\ndXfyGJPevibp+Gifm5zhxFXp/4+eqy9NHuOGlWk5nr/t8uQM7x29K3mMk6uOJI+x4WjatcHxKROS\nM8w/NjF5jM7r/5U8xhUrDiQdf3j8dckZ9rf+JXmMCw6dSjp+wYK7kjMMhsf/AAAAACABTRUAAAAA\nJKCpAgAAAIAENFUAAAAAkICmCgAAAAAS0FQBAAAAQAKaKgAAAABIQFMFAAAAAAloqgAAAAAgAU0V\nAAAAACSgqQIAAACABDRVAAAAAJCApgoAAAAAEtBUAQAAAEACmioAAAAASEBTBQAAAAAJaKoAAAAA\nIAFNFQAAAAAkoKkCAAAAgAQ0VQAAAACQgKYKAAAAABLQVAEAAABAApqqs9SWHe25I6CfDVvW5I6A\nGjvWbssdATW6/tqROwL6WbfhpdwRUGPz2hdzR0A/2zetzx0BNTo7t+eOMCiaqrNU1851uSOgnw1d\na3NHQI2da5v75Fs1W1/gAr7ZdGzkgrGZdK7lZmmzoalqLjRVAAAAAHAOo6kCAAAAgASOiOHtaA9v\nRwAAAAA4R0WE+68bdlMFAAAAAPh/PP4HAAAAAAloqgAAAAAgwZBNle3bbe+w/TfbX29EKAzO9jjb\ny2xvt73N9pzcmarE9hLb3ba31Kx7pJyPzbafsv2OnBmrps6czLK9zvZG2x22b8qZsUpst9pebXur\n7S7b9/Xb/hXbvbYvypWxSmyfb7vd9qayZjxcrr/IdpvtXbZX2R6XO2tV1JuTctu9ZT3psv3tnDmr\nxvbIsmb8oVymtmc0wHw0dV0ftKmyPVLSTyTdLulaSR+3fU0jgmFQP5K0IiKukTRdUnO/uP/c85iK\nn4laqyRNi4jrJe2S9GDDU1XbQHPyHUnfjIgZkh4ql9EYpyTdHxHTJM2R9MW+2mG7VdIHJf0zY75K\niYgTkuZFxA0qasY82++T9ICktoiYKunZchkNUG9ObM+TtFDS9Ii4TtJ3c+asoC9L2iap74UD1Pa8\n+s9HU9f1oX5TNUvSyxGxJyJOSfqtpEVnPhbqKe+S3BoRSyQpIt6MiDcyx6qUiFgj6fV+69oiordc\nbJc0qeHBKmygOZG0X1LfXcVxkl5taKgKi4gDEbGp/HxUxY2fS8vN35f0tVzZqioijpUfx0gaqeLn\nZaGkpeX6pZI+lCFaZdWZk89Leri85lJEHMoUr3JsT5K0QNIvJFmituc00Hyoyev6UE3VuyTtrVne\nV65DPlMkHbL9mO0Ntn9ue2zuUPgfn5G0IncI6AFJ37P9iqRHxB3GLGxPljRDUrvtRZL2RURn1lAV\nZHuE7U2SuiWtjoitkloiorvcpVtSS7aAFVRnTqZKer/tF20/Z/vGvCkr5QeSviqpt852antjDTQf\nTV3Xh2qqeN968xklaaakn0XETEn/Fo9sNA3b35DUExG/yZ0FelTSfRFxmaT7JS3JnKdybF8oaZmK\nRzh6JS2W9K3aXXLkqqKI6C0fNZuk4qJ9Xr/tIWp+Qw0wJx9QUePfGRFzVFxQPpkxYmXYvkPSwYjY\nqAHOS9T2xhpkPpq6rg/VVL0qqbVmuVXFb6uQzz4Vd3o7yuVlKposZGb7Uyp+Vf2JzFFQmBURT5ef\nl6l4nBkNYnu0pN9J+lVELJd0paTJkjbb3q3iQnK97Qn5UlZP+bj4M5LeI6nb9iWSZHuipIM5s1VV\nzZzcqKLGP1Wu75DUa/vijPGq4mZJC8tz0xOS5tv+pURtz2Sg+XhcTV7Xh2qqXpJ0le3JtsdI+qik\n35/5WKgnIg5I2mt7arnqNklbM0aCirdkqriruKj8AjLye9n23PLzfBVfMkYD2LaKO4rbIuKHkhQR\nWyKiJSKmRMQUFRePMyOCC/kzzPb4vjf72b5AxYtCNqqo5/eUu90jaXmehNUzyJwsV3G+Ulnnx0TE\na9mCVkRELI6I1vLc9DFJf46Iu6ntedSZj7vU5HV91GAbI+JN21+StFLFlygfjQjeNJffvZJ+XTa6\nf5f06cx5KsX2E5LmShpve6+Kx5keVPFl47bielIvRMQX8qWslgHm5CFJn5P0U9vnSTpeLqMxbpH0\nSUmdtjeW6xZHxB9r9uFRs8aZKGmp7REqbqY+HhHPlnPzpO3PStoj6c6MGaum3pw8L2lJ+echeiTd\nnTNkRVn/PT/9WNT2ZtA3H01d1108Rg0AAAAAOB1D/vFfAAAAAEB9NFUAAAAAkICmCgAAAAAS0FQB\nAAAAQAKaKgAAAABIQFMFAAAAAAloqgAAAAAgAU0VAAAAACT4D7G7fHO1HtezAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113672c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "soft_cmap = rand_cmap(50, type='soft', first_color_black=False, last_color_black=True, verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11184a3d0>"
      ]
     },
     "execution_count": 117,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmUAAAHBCAYAAAAo6sxCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl8XFd9///XZ2a0S7Zlyassx7vjbM4CSUjASYCUFErT\npi00pqVQU6elYWn5NrT9tSyl5fsl3y+lC20INE1o+aYJ30JZSiGBBJI0++KsXuIlXuVNXrQvs5zf\nHzNKZGckjaS5Z+6deT8fDz2sO3PnzvFHR0efOfdzzzXnHCIiIiJSWrFSN0BERERElJSJiIiIhIKS\nMhEREZEQUFImIiIiEgJKykRERERCQEmZiIiISAgoKRMR78zsDjP7XKnbMVlm9hkz+9cSt+FhM1s7\nwT7zzGyzmVX7apeITJ+SMhEZk5ntNrN+M+sxs+Nm9p9mtqgIh3a5r6gZt81mNsPM/sbM9uRitsPM\nvmRmLbnnR8fzkJndbmYNo55722nH+4CZPTRq+91Al3PuuXEb6dxh4KfAxin+P0WkBJSUich4HPAL\nzrkmYAFwGPj7Ih3bpn0As0QxGlIMuVmp+4A1wDtyMXsT0Am8Mbfb6HheCLwB+LNRz02UqP4uUOhM\n3f8Fbij4PyAiJaekTEQK4pwbAr4FnDXymJm9y8w2mVmXme01s0+Pfo2ZvdnMHjGzE7nn33/6cc2s\nycx+amZ/k9tuMbPv5475hJn95WmzRRkz+7CZbQe25R77HTPbbmbHzOy7ZrYg9/iS3P6xUa//mZlt\nyH3/ATP7bzP737mZwF1mds2ofZea2QNm1m1m9wKt44To/UA78MvOua25mB11zv2Vc+5HeeLZAfwI\nOHucY46OUzVwFfDAqMcuNrOncrE6ZGZfHPWSJ4BlZtZeyPFFpPSUlInIRAzAzOqB9wKPjnquF/gN\n59xM4F3A75nZtbn9zwD+C/hbssnM+cDo024ud1rvPuAh59zHc4//A9ADzAN+i2yyc/oM0rVkZ5/O\nMrO3Ap8Hfo3sbN4e4K5x/j+nz0hdDGwFWoCbgdtGPXcn8GTuuc/l2jPWbNbbgR865/rHeW94LZ7t\nwM8DmybYf8RKIJNL5kb8LfClXPyXAd8cecI5lwJ2kI27iERAaKb+RSSUDPiOmaWABuAI8OpMknPu\ngVHfv2BmdwFXAN8F1gM/ds7dndvleO5rRBvwM+AO59wXAcwsDlwHnO2cGwS2mNnXgStPa9f/dM6d\nzL3mfcBtzrlnc9t/Apwws8UF/h/3OOduy732X4B/NLO5QC3Z04tvdc4lgYfM7PuMfdp1NvDUBO81\nOp5dwH+STSgLMYtssjraMLDSzFqdc53A46c93wPMLPD4IlJimikTkfE44FrnXDNQA3wEeMDM5gGY\n2SW5U49HzOwk2Rqmltxr24FdYxzXyM6s1QK3jnp8DtkPi/tGPbY/z+tHPz8yO5ZtsHN9wDGySV8h\nDo167cgsVyOwEDjhnBsYte8exnYs95rxvBpP59wS59yNudPCACmg6rT9q4Bk7vsTQNNpz28AVpFN\nXp8ws3ed9nwTcHKCNolISCgpE5GCuKz/ANLA5bmH7wS+Ayxyzs0CvsJrM0l7geVjHQ74GnAP8F+5\nU6MAR8kmJ6ProPLVRI0+hdgBLBnZyF3N2AIcAPpyD9eP2n/+GG063UGgeVTbAM5g7NOXPwHecdr+\nk7EXWHraY0uB3bnvdwA2Ui8H4Jzb4Zxb75ybA3wB+Hczq4NXL4JYwamnjEUkxJSUichERmqgLFcv\n1gxsyT3XSHY2adjMLiZ7ynLEncDbzezXzCyRK+BfO/qYzrkbyRbrf9/Map1zaeDbwGfMrM7MzgR+\nk/GvSvw34INmttbMasieDnzMObfXOXeUbHL2m2YWN7PfZuxE8RTOuT1kT0d+1syqzOzNwC+M85J/\nJTuD9y0zW21msdz/+U/N7OcLeMu7gY/nXmtm9gbgg+Tq45xzw2QTvytHXmBmv2Fmc3KbXWTjlMlt\nXwzsds6NnlUUkRBTUiYiE/m+mfWQ/aP/OeD9zrmRpOzDwF+YWTfw52QTCwCcc3uBdwKfIHtqbxNw\n3sjTvJZobSR7ivI7uSsMbyRbB3UI+DrZpGt4VHtOSdCcc/fl3vtbZGfNlgK/PmqX3wH+iOzSFGcB\nD592rNMTvtHb64FLyNbCfSrXnrxySdPbyV408GOy8XqcbK3ZY2O9bpSvAbcD3yd7yvHrwJ865+4d\ntc+tZJPUEe8AXsz9fL4E/Pqo06HvA24p4H1FJCTMueDWbzSzfyZbN3LEOXdunuffB9xE9lNzD/B7\nzrnnA2uQiESOmX0BmOuc+2Cp2xIGZvbfwO+Pt4Bs7kKFnwHn55JFEYmAoJOyt5C9ZP5fxkjK3gRs\nds515dYG+oxz7tLAGiQioWdmq8leVPAC2WUvfgBscM59r6QNExEJWKBLYjjnHjKzJeM8P3q9o8eB\nYty+RUSirYnsKcuFZO8g8H+UkIlIJQjTOmUbyC40KSIVzDn3FNmFUkVEKkookjIzuwr4bV67zF5E\nRESkopQ8KTOz88hedXSNc+7EGPsEV/gmIiIiUmTOubHu/jGmkiZludugfJvsvfN2jLfvbV990E+j\nBIDvfu+fufYXf7vUzagoirl/irl/irl/irl/Gzaum9LrAk3KzOzfyN4Hr9XM9gGfJncbEefcrWTX\n/WkGbjEzgKRz7uIg2ySF6Tx2aOKdpKgUc/8Uc/8Uc/8U8+gI+urL6yd4/kPAh4Jsg4iIiEgUaEV/\nyevyywq5K4wUk2Lun2Lun2Lun2IeHSUv9JdwOnP1BaVuQsVRzP2Zar1HoVQDOzb1c/8U8+hQUiZ5\nbd22Sb/Ininmft08eCc7H9jM8ivOKupxb6pdP/FOFUz93J+gP3xIVjE/hCkpExERKVNB3kpRIHeR\nYtGopkzy0idZ/xRz/4o9SyYTUz8XGZuSMhEREZEQUFImeW3dtqnUTag4irl/Ox/YXOomVBz1c5Gx\nKSkTERERCQElZZKX6j78U8z9U02Zf+rnMuKuu+7ikksuobGxkXnz5nHppZdyyy23lLpZJaWkTERE\nRLz64he/yMc//nE++clPcvjwYQ4fPsxXvvIVHn74YYaHh0vdvJJRUiZ5qe7DP8XcP9WU+ad+Ll1d\nXXz605/mlltu4brrrqOhoQGA888/n2984xtUV1fzgx/8gAsuuICZM2eyePFiPvvZz776+t27dxOL\nxbjjjjtYvHgxLS0tfOUrX+HJJ5/kvPPOo7m5mY985COv7n/HHXdw+eWX84d/+Ic0NzezYsUKHnnk\nEW6//XYWL17MvHnz+Jd/+ZdX9x/vvYOmpExERES8efTRRxkaGuLaa68dc5/Gxka+8Y1v0NXVxQ9+\n8ANuueUWvvvd756yzxNPPMGOHTu46667+NjHPsbnP/957r//fl566SW++c1v8uCDD56y79q1azl+\n/DjXX38973nPe3jmmWfYuXMn3/jGN7jxxhvp7+8v+L2DoqRM8lLdh3+KuX+qKfNP/Vw6OztpbW0l\nFnstBbnssstobm6mvr6ehx56iCuuuIKzzz4bgHPPPZdf//Vf54EHHjjlOH/+539OdXU1V199NU1N\nTaxfv57W1lYWLlzIW97yFjZtem1WdunSpfzWb/0WZsZ73vMeOjo6+NSnPkVVVRVXX3011dXV7Nix\nA6Cg9w6KVvQXERGpQMe2/Lgox2lZc/Xk9m9pobOzk0wm82pi9sgjjwDQ3t6Oc47HH3+cP/7jP+al\nl15ieHiYoaEh3vOe95xynHnz5r36fV1d3eu2+/r6xtwXYM6cOac81tvbC1DQewdFSZnkpfvT+aeY\n+xfEvS9lfOrn4THZZKpY3vSmN1FTU8N3vvMdrrvuutc975xj/fr1fPSjH+Wee+6hurqaP/iDP6Cz\ns9NL+0r53jp9KSIiIt7MmjWLT3/603z4wx/mW9/6Fj09PWQyGZ599tlXZ7d6e3tpbm6murqaJ554\ngjvvvHPS95mc6n0/i/HeU6WZMslLn2T9U8z90yyZf+rnAvBHf/RHtLW1cfPNN/P+97+fhoYGli1b\nxs0338xll13GP/7jP/KJT3yCG2+8kSuuuIL3vve9nDx58tXXF5IkjexjZq/bf7zXT/TeQbIo3EHe\nzNxtX31w4h1FRAqwYeM6bh68M5Bj31S7Ho1XEgYbNq6b8myRFMbM8v6+52I/6ek1nb6UvLSWkH+K\nuX9ap8w/9XORsSkpExEREQkBJWWSl+o+/FPM/VNNmX/q5yJjU1ImIiIiEgJKyiQv1X34p5j7p5oy\n/9TPRcampExEREQkBJSUSV6q+/BPMfdPNWX+qZ+LjE2Lx4qIiJQpXyvRS3EoKZO8dH86/xRz/3Tv\nS//Uz/0ZWdRUMY8Onb4UERERCQElZZKXPlX5p5j7p1ky/9TP/VPMo0NJmYiIiEgIKCmTvLSWkH+K\nuX9ap8w/9XP/FPPoUFImIiIiEgJKyiQv1SD4p5j7p5oy/9TP/VPMo0NJmYiIiEgIKCmTvFSD4J9i\n7p9qyvxTP/dPMY8OJWUiIiIiIaCkTPJSDYJ/irl/qinzT/3cP8U8OpSUiYiIiISAkjLJSzUI/inm\n/qmmzD/1c/8U8+hQUiYiIiISAkrKJC/VIPinmPunmjL/1M/9U8yjQ0mZiIiISAgoKZO8VIPgn2Lu\nn2rK/FM/908xjw4lZSIiIiIhoKRM8lINgn+KuX+qKfNP/dw/xTw6lJSJiIiIhICSMslLNQj+Keb+\nqabMP/Vz/xTz6FBSJiIiIhICSsokL9Ug+KeY+6eaMv/Uz/1TzKNDSZmIiIhICCgpk7xUg+CfYu6f\nasr8Uz/3TzGPDiVlIiIiIiGgpEzyUg2Cf4q5f6op80/93D/FPDqUlImIiIiEgJIyyUs1CP4p5v6p\npsw/9XP/FPPoUFImIiIiEgKBJmVm9s9mdtjMXhhnn78zs+1m9pyZ6cR3SKgGwT/F3D/VlPmnfu6f\nYh4dQc+U3Q5cM9aTZvZOYIVzbiWwEbgl4PaIiIiIhFKgSZlz7iHgxDi7/CLw9dy+jwOzzGxekG2S\nwqgGwT/F3D/VlPmnfu6fYh4dpa4pawP2jdreDywqUVtERERESqbUSRmAnbbtStIKOYVqEPxTzP1T\nTZl/6uf+KebRkSjx+x8A2kdtL8o99jq33f55WlvmA1BX38ji9pWvdrSRqVlta1vb2i50e8TIKcyR\nBG262yPvUer/n7a1rW2/48m2bZvoPHaI6TDngp2YMrMlwPedc+fmee6dwI3OuXea2aXA3zjnLs2z\nn7vtqw8G2k451eg/KuKHYu7Pho3ruHnwTnY+sLnos2U31a5H49XY1M/9U8z927BxHc65088ETijQ\nmTIz+zfgCqDVzPYBnwaqAJxztzrn/svM3mlmO4A+4INBtkdEREQkrAJNypxz1xewz41BtkGmRp+q\n/FPM/VNNmX/q5/4p5tERhkJ/ERERkYqnpEzyOr0YWoKnmPundcr8Uz/3TzGPDiVlIiIiIiGgpEzy\nUg2Cf4q5f6op80/93D/FPDqUlImIiIiEgJIyyUs1CP4p5v6ppsw/9XP/FPPoUFImIiIiEgJKyiQv\n1SD4p5j7p5oy/9TP/VPMo0NJmYiIiEgIKCmTvFSD4J9i7p9qyvxTP/dPMY8OJWUiIiIiIaCkTPJS\nDYJ/irl/qinzT/3cP8U8OpSUiYiIiISAkjLJSzUI/inm/qmmzD/1c/8U8+hQUiYiIiISAkrKJC/V\nIPinmPunmjL/1M/9U8yjQ0mZiIiISAgoKZO8VIPgn2Lun2rK/FM/908xjw4lZSIiIiIhoKRM8lIN\ngn+KuX+qKfNP/dw/xTw6lJSJiIiIhICSMslLNQj+Keb+qabMP/Vz/xTz6FBSJiIiIhICSsokL9Ug\n+KeY+6eaMv/Uz/1TzKNDSZmIiIhICCgpk7xUg+CfYu6fasr8Uz/3TzGPDiVlIiIiIiGgpEzyUg2C\nf4q5f6op80/93D/FPDqUlImIiIiEgJIyyUs1CP4p5v6ppsw/9XP/FPPoUFImIiIiEgJKyiQv1SD4\np5j7p5oy/9TP/VPMo0NJmYiIiEgIKCmTvFSD4J9i7p9qyvxTP/dPMY8OJWUiIiIiIaCkTPJSDYJ/\nirl/qinzT/3cP8U8OpSUiYiIiISAkjLJSzUI/inm/qmmzD/1c/8U8+hQUiYiIiISAkrKJC/VIPin\nmPunmjL/1M/9U8yjQ0mZiIiISAgoKZO8VIPgn2Lun2rK/FM/908xjw4lZSIiIiIhoKRM8lINgn+K\nuX+qKfNP/dw/xTw6lJSJiIiIhICSMslLNQj+Keb+ja4pMwetgwnOO1HHNR0zePeBmVx9cAZvPtLI\nG47Vc87JOpb31NDWX8XsoTj1qRgxV8LGR5T6uX+KeXQkSt0AEZGScFCfNlZ317JwoIoFA1UMxDN0\n1CV5aeYAA3FHXdqoTceoy8SoT8eYPRynLh2jNh2jNm3UZGLsrR9my4wBDtemwEr9nxKRKFNSJnmp\nBsE/xTx4Zo4FszN86bMf55f2NRNffhkdg0n21g/zWEsfA4nMpI5XlTFW9tTw5s5G0gZbZgzSUF8b\nUOvLg/q5f4p5dCgpE5GK0NyUYe2KJMkU/Md/7KZhfjcnq9LTmt1KxhybZw6yecYgCweqWNNdy6af\nfIMT/Ul2H4zTO6AKEREpnEYMyUs1CP4p5sFIxB3nLUty8ZnDvLwvwcMvVPPVb3yHk9Vpdj5YpHXK\nDDrqk9w3v4e3/uqHSafh8nOHedPZw8yfnQZUfDZC/dw/xTw6NFMmImXKsaAlw7nLkhw+Huf+Z2pI\npoMv+trfcYQte6rYtjfBwtYMq9pTnHkGPL2tip5+fQ4WkbEpKZO8VIPgn2JePHU1jnOXJWmsczy1\nrZrj3fmToSDXKcs4Y//ROPuPxlg8L83l5w6zdU+C3YfiVPIVAern/inm0aGkTETKiGPZwjSr2lPs\n6kjw1NY4GVfqBMjYezjB8e4YF61OMrc5w6btVSRTpW6XiISNkjLJa+u2Tfp05Zli/poNG9dN+jXn\nrlnOlz77B5w80s+63/9bdu45MOFrdj6w2duq/r0DMR56rpo1Z6S46oIhnnm5is6uuJf3DhP1c/8U\n8+hQUiYioXTz4J0F77uwv4orjjTxZEsfOxqHuGH9/x53/5tq10+3eVOSccZLu6s4cjLGRauS7D2S\nYeveBK7ks3kiEgaqOpW89KnKP8V8akYSsvvndbOjaWhS5Vqluvfl0ZNxfvpsDTMbHG85b5j62smt\njxZl6uf+KebREWhSZmbXmNlWM9tuZp/M83yrmf3IzJ41sxfN7ANBtkdEysuiXEJ23/xuDtelSt2c\nSRlOGo9trmL/0Tjr1g6zaE661E0SkRILLCkzszjwZeAa4CzgejNbc9puNwKbnHPnA1cCXzQznVIN\nAa1r459iPjntfVW85UgTP5nfzZHaqSVko+99WRrGro4Ej7xYzer2FGvOSFLua5qpn/unmEdHkDNl\nFwM7nHO7nXNJ4C7g2tP2OQjMyH0/AzjmnIvWx10R8W5xXzVv7mzix/O7OTrFhCxMuvtiPPR8NfNm\nZzhrSYpyT8xEJL8gk7I2YN+o7f25x0b7GnC2mXUAzwEfC7A9MgmqQfBPMS/MGX3VXN7ZyL3zu+ic\nZkJWqpqyfIZTxsMvVDNnVoazyzgxUz/3TzGPjiBPFRYyovwp8Kxz7kozWw782MzWOud6AmyXiETU\nkt5qLj3WyD3zuzheE94arKks6TFi1swm/v1r/5ODO1/kz77wlbz73PbVB6d8fBEJryCTsgNA+6jt\ndrKzZaNdBvwVgHNup5m9AqwGnjr9YLfd/nlaW+YDUFffyOL2la9m/yPny7VdvO29+7bzc29/T2ja\nUwnbI4+FpT2l3h4xUvf19ovO55Jjjfzd9kfo2Z15dZZr5PnJbp/+/XSPN3rW7YZ7/mxax/uPzGFu\n3Phu3vKRn+fOl5485fmbatefsu5UWH5ehW7f+5Nvavz2vK3x3M94tW3bJjqPHWI6zLlgpshzBfvb\ngLcBHcATwPXOuS2j9vlroMs591kzmwc8DZznnDt+2rGcPhn6pcUG/VPMX7Nh47pT1ilb1lPDxcfr\n+dGCbk5WT3+G7Kba9dw8eGcgi8eOHHu6qtPGzx2awbGaFI+29L261MdNtesjPVOmfu6fYu7fho3r\ncFNYgDCwmrJcwf6NwD3AZuBu59wWM7vBzG7I7fZ54A1m9hzwE+Cm0xMyKQ39AvunmOd3Rl81byxi\nQjZamGrKTjccd9yzoJvZQwku62womxIz9XP/FPPoCHT5CefcD4EfnvbYraO+7wTeHWQbRCS6ZiRj\nXHa0kXsXdBU9IYuCZCybmL3j4Awu72zk4dbeUjdJRAKkFf0lL61r459ifqp4Bq46PINNs/s5FlBR\nf+nXKZtYKpeYzUzGefPRRmKxaA/b6uf+KebREe3fbhEpW5cca6CrKs3WpsFSN6XkUjHHvfO7aErF\n+NJffJyyOZcpIqdQUiZ5qQbBP8X8Nb/27rexYLCK/57TO6l7WU5WmGvKTpeKwb3zu1mzYgkrF0X3\nVK76uX+KeXQoKRORUGmsy/C5T97A/XN7SMU0IzRaOgbv/8hnWLogxfzZ0U3MRCQ/JWWSl2oQ/FPM\nIR5zvPHMJJ/763/mhIfFYaNQU3a6Q0eP88SWas5fmWRGfabUzZk09XP/FPPoUFImIiHhOG95kpO9\nxv/99o9K3ZhQO9kb44WdVVx8VpLqhGYTRcqFkjLJSzUI/lV6zBfPSzOr0fH8zipv7xmlmrLTHeiM\nc+BojDeuGcYsOolZpffzUlDMo0NJmYiU3Iz6DGctSfHU1irSmQAr+8vMlj0Jkilj7fLyvYG5SCVR\nUiZ5qQbBv0qNeSKerSN7cVcVPQN+h6Qo1pSdynh6WxWzmjIsWxiNwv9K7eelpJhHh5IyESkhx9oV\nSTq7Y+w/Gi91YyIpnTEe31zFykUp5syKRmImIvkpKZO8VIPgXyXGfMn8NE31jhd2BXrHtzFFuaZs\ntIGhGE9ureaiVUka68J9RWYl9vNSU8yjQ0mZiJREQ22GM89I8eSWKjKqI5u2490xNu9JcMmaJFVx\n1ZeJRJGSMslLNQj+VVbMHectT7F9X4K+wdINQ9GvKTvV3sMJDp+I8YYzk1hIC/8rq5+Hg2IeHUrK\nRMS7ttYMNdWOXR2qIyu2l17JngpesyRV4paIyGQpKZO8VIPgX6XEPBF3nLM0yXM7qnBB3tiyAOVS\nUzaay12RuWhOmjkzw1f4Xyn9PEwU8+iYsLrWzP4auM0595KH9ohImVtzRopDJ+Kc6NFnwqnasHHd\nhPuse9MFfPmv/gcf/N0Pc+xEV8HHvu2rD06naSIyDYVc8rQF+KqZVQH/DPybc67w33CJpK3bNunT\nlWeVEPNZjRkWtqa5/5maUjcFyNaURXG27ObBOwvar/NYPT/e9A1+Mq+HQiYlb6pdP82WTawS+nnY\nKObRMeFHVefc15xzlwPvB5YAL5jZnWZ2VdCNE5Fy4li7PMnm3VUkU7ra0odnZvdTn4pxZndtqZsi\nIgUo6PyBmcWBM4E1wFHgOeAPzezuANsmJaRPVf6Ve8yXLkiTysC+I+E5bRnFWbLJyBj8bG4PF5yo\nZ9ZwOC6qKPd+HkaKeXRMODqa2ZeAbcA7gb9yzl3knPuCc+7dwPlBN1BEoq+22rF6cYrnd1RR0Hk0\nKZru6gxPtfRx5eEm4uFeV1ak4hXykfV5YK1zbqNz7onTnrskgDZJCGhdG//KOeZnL02y51Dc+70t\nJ1Ju65SNZXvjECer07zxeEOpm1LW/TysFPPoKGSE/E3nXN/oB8zsPgDn3MlAWiUiZWPOrDTNTY6X\n95XmVkoCGDzS2kt7fzXtfVWlbo2IjGHMpMzM6sysBWg1s9mjvpYAbb4aKKWhGgT/yjHmMcuu3P/C\nzgTpEN5KqdxrykYbjjsenNvD5Z1N1JXwQoty7Odhp5hHx3gfXW8APgYsBJ4e9XgP8OUgGyUi5WFl\ne4ruPuPwiXAUmVe6w7UptjUNsu5oE/fM71Z5n0jIjDlT5pz7G+fcUuB/OOeWjvo6zzmnpKzMqQbB\nv3KLeUNthqUL0rywK7ynyyqlpmy0Z5v7SWSMc7rqSvL+5dbPo0Axj44xZ8rM7K3OufuBDjO77vTn\nnXPfDrRlIhJhr91wfHBY0zFh4nLLZPzigVkcrBvmWE34bsUkUqnGO315BXA/8G7A5XleSVkZUw2C\nf+UU86jccLySaspG66vK8FhrL1cemcF3206Q8nhRbDn186hQzKNjzKTMOffp3L8f8NYaEYm8mDnO\nWpLkmZerS37DcRnbK43DtPdXc+HxBp5o7Zv4BSISuEIWj/2Ymc2wrNvM7Bkze4ePxknpqAbBv3KJ\n+ZIFabr7YxzrDteaZPlUYk3ZaI+39LGsr4a5g/6WKymXfh4linl0FDJqbnDOdQM/B8wmew/M/xVo\nq0QkkhJxx8pFKbbs1ppkUTAUdzza0subjzZqtX+RECgkKRs5//Au4F+dcy8G2B4JCdUg+FcOMV++\nMM3RkzG6+8M/SwaVW1M22p7GYU5Upzn/ZL2X9yuHfh41inl0FDJyPm1m95K99+U9ZjYD0GcqETlF\ndcKxbGGKrXs0SxY1j7b0sqqnlvPPXlnqpohUtIJOXwJ/Arwhd7ulKuCDgbZKSk41CP5FPear2lPs\nPxqnfygas2SgmrIRgwnH47P7+Nu//ARm+S62L56o9/MoUsyjY8LR0zmXBg4DZ5nZOuAcYFbQDROR\n6KircbTPTev+lhG2q3GI/R1HWNWeKnVTRCrWhCOomX0BeC+wGRi9yuCDQTVKSk81CP5FOeZnLk7x\nysE4Q8loLYGhmrJRDD7x2b/l6Xsv5WBnPLC6wCj386hSzKOjkI+1vwysds4NBd0YEYmepvoM85rT\n/OTpmlI3Rabp0JFjbN6T4IJVSR58VuvMifhWyEehnUB10A2RcFENgn9RjfmaM1JsP5AglY7eH3DV\nlL3e3sNxhpPGikXB3H4pqv08yhTz6ChkpmwAeNbM7gNGZsucc+6jwTVLRKKguSnDzIYMT20N703H\nZbKMZ3fQPsEwAAAgAElEQVRUccX5Qxw8FqN3IDoXbohEXSFJ2fdyXyOX5Bj574UpZUQ1CP5FL+bZ\n2ylt25cg46I3SwaqKRvLwJCxdU+CC1Ymeej5aijiaczo9fPoU8yjY8KkzDl3h5nVA4udc1s9tElE\nImDurAw1VbDvcLhvOi5Ts/tQnLY5aZYtTLOrQ1fVivhQyL0vfxHYBPwot32BmX0v6IZJaakGwb9o\nxdyxZkmKLXsSkS4GV03ZeIxnt1exqj1FQ23x1guPVj8vD4p5dBRSLPAZ4BLgBIBzbhOwLMA2iUjI\ntbVmcA4OHlO9UTnrG4yxfV+CtStSqGpFJHiFjKhJ59zJ0x7TbZbKnGoQ/ItKzM0cZ56RYvPuBMWs\nNSoF1ZRNbFdHnKqEo31ucYb9qPTzcqKYR0chSdlLZvY+IGFmK83s74FHAm6XiITUGfPS9A8anV2q\nJasEDuO5HVWctSRJVUKzZSJBKiQp+whwNtnlMP4N6AY+HmSjpPRUg+BfFGIejzlWtWdrycqBasoK\nc7I3RkdnnLOXTP8WTFHo5+VGMY+OQq6+7AP+NPclIhXsjPlpTvTEONmrWrJKs2VPgrdeOMTsGXGO\nd+vnLxKEcX+zzOwDZvaMmfXnvp4ys9/y1TgpHdUg+Bf2mMfMsaItVVY3HVdNWeFSaePFXVWsXZ7E\nbOqnMcPez8uRYh4dYyZlueTrY8AngIVAG3AT8FEze7+f5olIWLTPS9PdF6OrT7MklarjWIyBIWNF\nWzC3YBKpdOONrh8GrnPO/dQ5d9I5d8I5dz/wK8Dv+2melIpqEPwLc8wNx8pF6bKaJQPVlE2e8fzO\nBMvbUtTXTO1qzDD383KlmEfHeElZk3PuldMfdM7tBpoCa5GIhE7bnAwDQ3C8R7Nkla5/KMbOAwnO\nW661y0SKbbwRdnCKz0kZUA2Cf+GNefaKy5f3ltcsGaimbKp2HIhTV+NY2DL52bLw9vPypZhHx3ij\n7Boze2GM55YH0RgRCZ8FLRlSaTjapVkyyXLOeG5nFW9YPcyRkzFS6WgvIiwSFuONsmuAd4/xpY+X\nZU41CP6FM+a5WbJ90V+9Px/VlE3d8e4YR07EWXPG5NYuC2c/L2+KeXSMOVOWqx0TkQo2tzmDGRw6\nrlkyeb2XdmfXLtt3JK6160SKQL9FkpdqEPwLX8yzs2Tby3SWDFRTNl3JlLF5dxVrVySxAov+w9fP\ny59iHh1KykQkr5aZGWqq4ECnhgkZ274jMZIpY+lCrV0mMl0TjrZm9otmNqVR2cyuMbOtZrbdzD45\nxj5XmtkmM3vRzH42lfeR4lMNgn9hi/nq9jTb98Up11kyUE1ZcWTXLlvVnqK2euLZsrD180qgmEdH\nIcnWe4EdZnazmZ1Z6IHNLA58GbiG7IUB15vZmtP2mQX8A/Bu59w5wK8W3HIRCUxzY4aG2gz7jsZL\n3RSJgN6BGLsPxjlnabLUTRGJtAmTMufc+4ALgF3AHWb2qJltNLOJFpC9GNjhnNvtnEsCdwHXnrbP\neuBbzrn9uffqnPT/QAKhGgT/whTzle0pdhxI4Fz5zpKBasqKafv+BLOaHHNmjX8aM0z9vFIo5tFR\n0GlJ51wX8O/A3WTvg/nLwCYz++g4L2sD9o3a3p97bLSVwGwz+2nuZue/WXDLRSQQM+ozNDdl2HNY\ns2RSuHTGeHFXgvOWpYhN44blIpVswiW6zexa4ANkE6h/Ad7onDtiZvXAZuDvxnhpIb+VVcCFwNuA\neuBRM3vMObe9gNdKgLZu26RPV56FJeYjs2SZTHnPkkG2pkyzZcVz6HicM+anWd6WZvv+1/952bBx\nXaDvf9tXHwz0+FEVlrFFJlbIfVOuA77knDultzvn+s3sQ+O87gDQPmq7nexs2Wj7gE7n3AAwYGYP\nAmuB1yVlt93+eVpb5gNQV9/I4vaVr3aykSJGbRdve+++7aFqTyVsjyhlexrrMmx/eRNPbati1aoL\nQxGPkWL8keSpWNtBHX/ksWK319fxp/vzu/s/X+C8FSnqai5mYMhe9/y7b/4NFq5dUvT23/qOvyxK\n+8txW+O5n/Fq27ZNdB47xHSYc+NPaJnZzc65m0577AvOubxXU47aJwFsIzsL1gE8AVzvnNsyap8z\nyV4M8A6gBngceK9zbvNpx3L6BCQSvAtWJukbtNwK/qWzYeM6bh68M7Dj31S7PrDjB3nsoI9/U+36\nosw2rW5PMaMhw5Nbq095PMifa7HaLlIMGzauw02hKLeQmrKr8zz2zole5JxLATcC95A9zXm3c26L\nmd1gZjfk9tkK/Ah4nmxC9rXTEzIR8aOuxjF/dppXOlRLJtOz/UCcmQ2OuRMU/YvIqcZMyszs93I3\nJF9tZi+M+tpNNomakHPuh8651c65Fc65/5l77Fbn3K2j9vk/zrmznXPnOufGqk8Tz7SujX+ljvnK\nthR7DsVJVtDNpbVOWTAyGeOFXQnOXf76on/F3L9Sjy1SuPHOUdwJ/BD4X8AneW0FyR7n3LGgGyYi\n/lQnHG1z09z/dE2pmyJl4vCJOGf0p1mxKF3y0+EiUTHe6UuXuyn57wM9QHfuy5nZbA9tkxLSlTr+\nlTLmSxek6eiMM5SsnFky0DplQXthV4LlC1PU1WRefUwx90/jeXSM9/Hl34B3AU+Tf3mLpYG0SES8\nisUcSxakePiF6ol3HiXo5Q2kNIr9c/3DG9Zz/jmr2PCRzxT1uCLlaMykzDn3rty/S7y1RkJD69r4\nV6qYt89Nc6InRu/A5G9xG+SVdD5onbLXK/bPNObg8n3N3Hn8/7F+9q8p5iWg8Tw6xkzKzOzC8V7o\nnHum+M0REb8cKxameXZHVakbImUqY/BYay9v6myktmZys7EilWa805d/zfir8l9V5LZIiOhTlX+l\niPn82RmSaTjWXVm1ZCM0Y+PHgfokx6tTfGTDe5ijmHun8Tw6xjt9eaXHdohICSxvy95S6bWLq0WC\n8XhrHx9637Xcn0zTU5WZ+AUiFWi8dcremvv3V8zsutO//DVRSkHr2vjnO+bNjRnqaxwHOydfS1Yu\ntGaWP32JDP9w+78T/89dpW5KxdF4Hh3jnb68ArgfeDf5T2N+O5AWiYgXy9tS7OxI4DRLJp7c8vVv\ncceVF9DUV82+huFSN0ckdMY7ffnp3L8f8NYaCQ3VIPjnM+b1NRlaZ2UqvsBfNWV+JZMp3DuXc2ln\nAx11w6Qrd5LWK43n0THhr4SZtZrZ35vZJjN7xsz+1sxafDRORIKxvC3NnkNxUhV0SyUJh476JJ01\nKc47WV/qpoiETiGfU+4CjgDXAb8KHAXuDrJRUnqqQfDPV8yrEo5Fc9K8clC3vlFNmX87H9jMEy19\nrOmupSmpqTIfNJ5HRyG/EfOdc59zzr3inNvlnPtLYF7QDRORYCyZn+bQ8RiDw5olk9LoS2R4ceYA\nlxxrKHVTREKlkKTsXjO73sxiua/3AvcG3TApLdUg+Ocj5jFzLFswsgyGqKbMv5GYvzhrgJnJBO19\nlV3X6IPG8+gYb0X/Xl676vLjwL/mvo8BfcAngm2aiBTbojlpuvpj9PTrtJGUVsbgsZbsSv8ddSdU\n9C/CODNlzrlG51xT7ivmnEvkvmLOuSafjRT/VIPgX/AxdyxvS7Nzfzzg94kO1ZT5NzrmIyv9n9tV\nV8IWlT+N59FR0DkMM2sGVgK1I4855x4MqlEiUnxzmzM4B0e7NCUh4fF4ax/X7p/FjsYherXSv1S4\nQpbE+B3gQbJ1ZJ8F7gE+E2yzpNRUg+Bf0DFf0ZbWLZVOo5oy/06PeV8iw0sq+g+UxvPoKOQj88eA\ni4HdzrmrgAuArkBbJSJFNbMhQ2NdhgMVfEslCa8XZg0wazjBon4V/UtlK2SEHnTODQCYWa1zbiuw\nOthmSampBsG/IGO+vC3Fro4EzmmWbDTVlPmXL+YZg8dae7m0s5G4zmAWncbz6CgkKduXqyn7DvBj\nM/sesDvQVolI0dRWO+Y1Z9h9SAX+El4H6pOcqE5xjor+pYJNWOjvnPvl3LefMbOfATOAHwXZKCk9\n1SD4F1TMly1MsfeIbqmUj2rK/Bsv5o+39PGLB2axU0X/RaXxPDoKKjAxs4vM7GPAecB+59xwsM0S\nkWKIxxxnzEuzq0OzZBJ+vVUq+pfKVsjVl58C7gBmA63A7Wb25wG3S0pMNQj+BRHzxfPSdHbFGBhS\ngX8+qinzb6KYvzhzgGYV/ReVxvPoKGSk/g3gjc65TzvnPgVcCvxmsM0SkelzLFuYZqduqSQRko6p\n6F8qVyFJ2QFgdOVlLbA/mOZIWKgGwb9ix3z+7AzJFBzvUS3ZWFRT5l8hMd+vlf6LSuN5dIx378u/\nz33bBbxkZiM3Ib8aeCLohonI9CxvS+VmyZSUSfSMrPS/s3GIHhX9S4UYb6bsaeAp4D+APwV+mvv6\n/8gujyFlTDUI/hUz5jMbMjTUOjqOqZZsPKop86/QmPclMrw4a4BLOxvBBdyoMqfxPDrGnClzzt0x\n8r2Z1QCrcptbnXPJgNslItOgxWKlHLw4c4AVPTUs7q9mb4Mu+pfyV8jVl1cCLwP/kPvabmZXBNwu\nKTHVIPhXrJjXVDnmzc6wR4vFTkg1Zf5NJuYZg0da+7jkWAMJncGcMo3n0VHIZVl/Dfycc24bgJmt\nAu4CLgyyYSIyNUsXpDhwJE5Si8VKGThUl+RITZK1J+t5enZ/qZsjEqhCCk4SIwkZgHPuZQpL5iTC\nVIPgXzFiHos5lsxPs1OLxRZENWX+TSXmT7T0sbq7lpnD6tdTofE8OgpJyp42s38ysyvN7Coz+yey\nFwCISMi0z0lzojdG36AK/KV8DCQczzb386bOBhX9S1krZOT+XWAL8FHgI8BLwO8F2SgpPdUg+Df9\nmI8sFqvZhEKppsy/qcZ8y4xBajMxlvZVF7lF5U/jeXSMexrSzBLAc865M4Ev+mmSiEzFnFkZHNDZ\npVkyKT/O4JHWXq463MT++iTJmKbMpPyMO3o751LANjM7w1N7JCRUg+DfdGO+vC3NrgNxtFhs4VRT\n5t90Yn6kNsWBuiQXnKgvYovKn8bz6CjkI/Vssiv6329m3899fS/oholI4ZrqMsxsyLD/qE5dSnl7\nqqWP5T01NA+pr0v5KeQqyj/L/Tv647fmjcucahD8m07Ml7Wl2X0wQUaLxU6Kasr8m27MB+OOZ2b3\nc1lnIz9Y2KWJ4QJoPI+O8e59WUe2yH8F8Dzwz1rJXyR8qhOOha1p7nu6ptRNEfHi5aZBVvXUsKK3\nhh1NQ6VujkjRjHf68uvARWQTsncC/8dLiyQUVIPg31RjvmRBmoOdcYaTmjKYLNWU+VeMmLvcSv9v\nON5AtRZJnpDG8+gY7/TlGufcuQBmdhvwpJ8miUihzBxL56d45CUtEyCV5VhNit0NQ7zxeAMPz+kt\ndXNEimK8mbLUyDe5qzClgqgGwb+pxLytNUN3f4yefi2DMRWqKfOvmDF/enY/i/qrmDeom8yMR+N5\ndIzXk88zs55R23Wjtp1zbkaA7RKRCTmWt6XYukd/kKQyJWOOx1v6uOxoI1VV+j2Q6Bvz47VzLu6c\naxr1lRj1vRKyMqcaBP8mG/OWGY54DA6f0CzZVKmmzL9ix3x3wzA9VRl+/4O/WtTjlhON59Gh0Vwk\nopa3pdjVocVipcIZPNbSy+/91q/QUJspdWtEpkVJmeSlGgT/JhPzhtoMs5sy7DuiBTSnQzVl/gUR\n896qDH/3T3dz3vIUWkbz9TSeR4eSMpEIWrYwzZ7DcdIZzZKJANz6r/9BTZWjbY5myyS6lJRJXqpB\n8K/QmFfFHYvmpHnloAqbp0s1Zf4FFfNUKs1zO6o4Z2mSqrhmy0bTeB4dGtVFIuaM+WkOn4gxODz+\nLNmGjes8tUgkHE70xjjYGeesJSme21lV6uaITJqSMslLNQj+FRJzM8eyhSke31zYYrE3D9453WaN\n6aba9YEd2xfVlPkXdMw370nw1guHmH0kzvEenQwCjedRoh4rEiELWzP0DsTo6tOvrkg+qbTx4q4q\n1q5IYqbTmBItGtklL9Ug+DdxzB3LF6bY2aErLotFNWX++Yh5x7EY/UPGirZ04O8VBRrPo0NJmUhE\nzJ7hqErA4eP6tRUZn/H8zgTL21LUa+0yiRCN7pKXahD8myjmyxem2HlAi8UWk2rK/PMV84GhGDv2\nJ1irtcs0nkeIkjKRCKivzdAyU4vFikzGzo44NdWOtlbNlkk0KCmTvFSD4N94MV+2MM2eQ1ostthU\nU+afz5g7Zzy3vYpzliWpTlTubJnG8+hQUiYScom4o12LxYpMyYneGPuPxjlnWbLUTRGZUKBJmZld\nY2ZbzWy7mX1ynP3eaGYpM7suyPZI4VSD4N9YMS90sViZPNWU+VeKmG/dk2B2k2Nec2VejanxPDoC\nS8rMLA58GbgGOAu43szWjLHfF4AfoQpmkVMYjmULUuw8oFkykalKZ4xndyRYuyJJQrdgkhALcqbs\nYmCHc263cy4J3AVcm2e/jwD/DhwNsC0ySapB8C9fzBe0ZugfMi0WGxDVlPlXqph3dsU5fDzO2UtS\nJXn/UtJ4Hh1BjvRtwL5R2/tzj73KzNrIJmq35B7SRxiRVzlWtGmWTKRYXtqdYN7sNK0zK/M0poRf\nkKN9IQnW3wB/7JxzZmbo9GVoqAbBv9Nj3tyUXSz2kBaLDYxqyvwLMuYbNq6bcJ+r113M5//0w1z/\ngd+lf2BwUse/7asPTrVpJaXxPDqCTMoOAO2jttvJzpaNdhFwVzYfoxX4eTNLOue+d/rBbrv987S2\nzAegrr6Rxe0rX+1oI1Oz2tZ2OW3/5rVns6sjztZtz07p9SNGTheN/DEs1raOn3975LFit9fX8aO6\nDXDz4J0F7f/EyQP81/a7eaK1r+Dj3/qOvwTCMz5oO1zbANu2baLz2CGmw5wL5oyhmSWAbcDbgA7g\nCeB659yWMfa/Hfi+c+7beZ5zUf2EElVbt23SpyvPRse8vibDuvOH+fGTNVNem2zDxnXcPHhnMZt4\niptq1wd2/CCPPfr4o5ObYh87KFGP+w33/Fkgs2WTaXtN2vjl/c3cN6+bo7WF1ZjdVLs+sjNlGs/9\n27BxHc65SQ/egZ0Xcc6lgBuBe4DNwN3OuS1mdoOZ3RDU+4qUg2UL0+w9rMViRYIwFHc81tLLm482\nElMls4RIoBXEzrkfAj887bFbx9j3g0G2RSZHn6r8G4l5VdzRPjfNTzfVlLhF5U81Zf6FJea7G4ZZ\n1lvD+SfqeWZ2f6mbEyiN59GhCmKRkFmyIM2h43EtFisSJINHW3tZ3V3L7CHdU1bCQUmZ5KV1bfzb\num0TMXMsW5hixwH9kfBB65T5F6aYDyQcT7b08eajTVgZn8bUeB4dSspEQqR9bpqTvTF6+vWrKeLD\njsYhBuMZzj1ZV+qmiCgpk/xUg+DfmavPZ0Vbmh37tVisL2Gpb6okoYu5wcOtvZzdVcfM4fKcodZ4\nHh1KykRCYkFLhuEUHOtWLZmIT31VGZ6Z3c8VRxrL+jSmhJ+SMslLNQi+OY4depodBxLoxhb+hKm+\nqVKENebbmgYZiDvOP1Ff6qYUncbz6FBSJhICs2c4Egk4eEy/kiIlYfDfc3pY3VPLnEGVEEhp6C+A\n5KUaBL9WtKWYs+BCNEvmV+jqmypAmGM+kMguKrvuaBOJTKlbUzwaz6NDSZlIiTXVZWhuyrDvSHkW\nGYtEye7GYY7WJHnj8YZSN0UqkJIyyUs1CP4sX5TmlYMJNm95ttRNqThhrW8qZ1GI+WMtfbT3VdPW\nX1XqphSFxvPoUFImUkK11Y4Fs9O8clCzZCJhMRx3PDQ3e2/M6rRKCsQfJWWSl2oQ/Fi2MMW+I3GS\nKVPMSyDM9U3lKioxP1iXZHfDMJd1Npa6KdOmsSU6lJSJlEgi7jhjXpqdHbrSSySMnprdR/NwnGW9\n1aVuilQIJWWSl2oQgrdkfprDJ2IMDGVPjyjm/kWhvqncRCnm6Rg8OLeHSzobWTCvtdTNmTKNLdGh\npEykBOzVG49rlkwkzI7VpNk8c4C//6v/AWi5fwmWkjLJSzUIwVo0J01Pf4zuvtd+BRVz/6JS31RO\nohjz52cN0FBfy9IF6VI3ZUo0tkSHkjIR71zuxuO64lIkCpzB7//JzaxenKKxroxWlZXQUVImeakG\nITjzmjNkHBztOvXXTzH3L0r1TeUiqjHftaeDrXsSXLQqiUXsruUaW6JDSZmIZysWpdixXzceF4ma\n3YfiDAwbZy1JlbopUqaUlEleqkEIRnNThroa6Oh8/a+eYu5fFOuboi7aMTc2ba9iYUuaebOjU1+m\nsSU6lJSJeLS6PcX2/XGcZslEIimZMp7eVs35K5LUVkfrNKaEn5IyyUs1CMU3qzHDjIYM+w7nL/BX\nzP2Lan1TlJVDzI/3xNjVkeANq4exCCyTobElOpSUiXiyqj3F9v0JMk6zZCJRt31/nHTGOPMM1ZdJ\n8Sgpk7xUg1BcMxsyzGrMsOfQ2MtgKOb+Rbu+KZrKJ+bG0y9X0T43zZxZ4a4v09gSHUrKRDxY1Z5d\nvV+zZCLlYzhpPPNyFReuTFJTFf7TmBJ+SsokL9UgFM+M+gyzZ4w/SwaKeSmUQ31T1JRbzDu74uw+\nHOei1UnCehsmjS3RoaRMJGAjs2TpjGbJRMrRtr3Ze9iuag/3aUwJPyVlkpdqEIqjqS5Dy8wMuw9O\nfEslxdy/8qlvio7yjHn2NObSBSlaZoTvNkwaW6JDSZlIgFa2p9jVoVkykXI3OGxsermKi1YPU50I\n52lMCT8lZZKXahCmr7Euw9xZGV4pYJYMFPNSKLf6pigo55gfORln/5E4F64KV32ZxpboUFImEpCV\ni1LsOpggldYsmUil2LI3QVXCsXKR6stk8pSUSV6qQZiehtoM82Zn2NVR2CwZKOalUJ71TeFW7jF3\nznhyazXLFqSYG5L1yzS2RIeSMpEArFyU5pWDcc2SiVSgwWHjyW3VXLgqSUNt+Ar/JbyUlEleqkGY\nuvqaDAta0uw6kJjU6xRz/8q5vimsKiXmx7tjbN2b4OI1SRLx0taXaWyJDiVlIkU2MkuW1CyZSEXb\nfSjO8Z5Y6Ar/JbyUlEleqkGYmroax8LWNDs7JjdLBop5KZR7fVMYVVbMjRd2JqipciVdWFZjS3Qo\nKRMpopVtKfYcjpNMaZZMRCCTK/xfMj/F/NnhKPyX8FJSJnmpBmHyaqsdbXPS7JhkLdkIxdy/Sqlv\nCpNKjPngcDYxO39FksY6/4X/GluiQ0mZSJGsaEux90ic4aRmyUTkVCd6Ymzek+CSEBT+S3gpKZO8\nVIMwOXU1jva5aXbsn9osGSjmpVBZ9U3hUMkx33s4wZGTMS5a7bfwX2NLdCgpEymCMxcneeVgnCHN\nkonIOF58JUEi7jhzcarUTZEQmvrHeilrW7dt0qerAs1oyDC3OcN9T9dM+rUbNq4LoEVSqJ0PbK7o\nmZtSqPSYj6z4f8XaIbr6Yhw8VvhdP6ZK43l0KCkTmaazzkjx8r6p3+Py5sE7geL/sbqpdn3RjiUi\nxTOcNJ7YUs2bzhmmf9Do6tNJK8lST5C89KmqMK0z0zTUOXYfmv6n3UqePSgVxdw/xTyrqy/Gczuq\nuOSsYepqgq0v03geHUrKRKbMcfaSFFv2JHBOtWQiMjkHj8XZcSDBm84epkpXZApKymQMWtdmYgtb\ns+sNdXQW59eoEtdvKjXF3D/F/FS7OhIcPhHj4rOGiVkwiZnG8+hQUiYyBWaONWekeGl3AtAsmYhM\n3UuvJBgaNi7QPTIrnpIyyUs1CONbMj9N34DR2VW8K6dUa+OfYu6fYp6P8czLVdRVO85aUvylMjSe\nR4eSMpFJSsQdq9pTbN6ji5dFpDgyznh8SzXzZ2dYtkBrmFUqJWWSl2oQxraiLcXRkzG6i3wZu2pt\n/FPM/VPMx5ZMGY++VMWKRSkWtBTv5uUaz6NDSZnIJNRUOZYuSLNlT1WpmyIiZWhgKMbjm6tZuzzJ\n7Cb/Ny+X0lJSJnmpBiG/1YtT7D0cZ2Co+MX9qrXxTzH3TzGfWFdfjKdfruKNa4ZprJt+YqbxPDqU\nlIkUqLEuw8LWNC9P46bjIiKFOHoyzpbdCS49K0lNla7IrBRKyiQv1SC83pozUuzYnyCZCmYJDNXa\n+KeY+6eYF27vkQR7j8S5dJqLy2o8jw595JfIC/qm3rd99UGamzI0N2V4+mXVkolUqqDHmrF87qYb\nuOTCs/mVD/0xPb39UzrGbV99sMitkiAoKZO8olaDMHJT72LL3tTbcfaSJFv3JMhkglsoVrU2/inm\n/kU55kGNM5Ada8Y8voPaYw089tz/454F3aRik5s1y45jEgWBn740s2vMbKuZbTezT+Z5/n1m9pyZ\nPW9mD5vZeUG3SWQy5s/OUJWAvUeKt1CsiEjBDB5r6eNEdYqrD80goYsyy1agSZmZxYEvA9cAZwHX\nm9ma03bbBaxzzp0HfA74apBtksKoBiGrvq6Wc5cleXFX8LdTUq2Nf4q5f4r5FBk80tpHTyLN2w/N\nIK7ErCwFPVN2MbDDObfbOZcE7gKuHb2Dc+5R51xXbvNxYFHAbRIp2Cd+dz3HumMcLeLtlEREpsTg\n4Tm99CcyvO2wErNyFHRS1gbsG7W9P/fYWDYA/xVoi6QgUaspC8Ks4Tjv+5VreOkVP8X9Ua61iSrF\n3D/FfHqcwUNzehmOOa46MoNJlpdJyAVd6F9wdzGzq4DfBi4PrjlSCqW6YmlaHFzW2cgXvvwV3vzW\nPyp1a0REXuUMHpjbw1WHm7jqcBP3z+vBBVtdIZ4EnZQdANpHbbeTnS07Ra64/2vANc65E/kOdNvt\nn6e1ZT4AdfWNLG5f+epszkj9k7aLt71333Z+7u3vKcrxAG64589e/YQ8UlNSrO2batez84HNRT3+\nooEq4ue+ga9/8we0tr090HiPrrFZfsVZRYvPiGLHu5yOf3rsi3H8kceC6u9BHz/o7Yf+7r9YuHZJ\nJAGq5WkAABSUSURBVPtL2I7/s3k9zPjObpoMeq5dgrOJjx+Gvy/luA2wbdsmOo8dYjrMueDmPs0s\nAWwD3gZ0AE8A1zvntozaZzFwP/AbzrnHxjiO0xorfm3dtqlopzA3bFxXukvJp6AmbVy3v5l753ex\nYeZ7A13fZ3RsRv+hLYZix8Xn8X21vdgxH33soEQ97qM/oBX72FGN+3SOH8/A2w7PYCie4cE5vXln\nzG6qXa91yjzbsHEdzk1+/jLQmjLnXAq4EbgH2Azc7ZzbYmY3mNkNud0+BTQDt5jZJjN7Isg2SWEq\nuabsDccb2NUwxLGatNf3Va2Nf4q5f4p5caVjcN+8bmrTMa480qQas4gLfPFY59wPgR+e9tito77/\nEPChoNshUoh5gwkW9Vfx7faTpW6KiEhB0jH4ybxurjjSxNWHZnDfvG5SuoliJOnHJnlV4jpl5uCy\no4083tJHsgQfN7V+k3+KuX+KeTDSMfjpvB56Exl+/uBMatKq/I8iJWUiOed01dGXyLC7YbjUTRER\nmTRn8HBrLx11Sd7VMZMGTZdFjn5iklel1ZQ1JGOce7KOR1t7g164f0yqtfFPMfdPMQ+YwdOz+9nW\nNMi7OmYyc1gLX0eJbkguAlx6rIGXZg7QU6UlskUk+l6aNchQ3PHzB2dywbmrS90cKZBmyiSvSqop\nW9xXzcxknBdmDZS0Haq18U8x908x92dH0xAPt/bw8d/5debM8ns1uUyNkjKpaIkMXNrZwCOtfWRU\nFysiZWZfQ5L/9fdf58JVSRa2KjELOyVlklel1JRdcKKeQ3VJDtUlS90U1dqUgGLun2Lu35btu3n0\nxWrOWZpk6YJUqZsj41BSJhVrzmCCFb21PNHSV+qmiIgEqrs/xn8/X83SBWnOXZbETKvMhpEK/SWv\nYt5mKYyqMsaVR5p4pLWXwXg4Bqcgbvkj41PM/VPMS2PDxnUAzGhq4Nb//Sc0V1fz23/wOU509RTl\n+LqNU3EoKZPK4+Cyzgb21w2zR2uSiUgFGH1fzf0OLjpezzNPfpOfzO/mRPX0as1uql0/3eZJjk5f\nSl7lPEu2oreG2UOJ0J221OyBf4q5f4p56TmDp1r6eXp2P9d0zOSMvupSN0lyNFMmFWVGMsYbjzXw\no4VdpPWRREQq2K7GIbqqUrzt0AxmDyXY1NxfssWzJUt/liSvclynLObgysNNPNvcP+3p+iBo/Sb/\nFHP/FPNwOVaT5vttJ1k4UMVbDzeR0PrZJaWkTCrGhcfr6U9k2DJjsNRNEREJjYGE44cLuxiKO37h\nwCyakkoNSkWRl7zKraZsYX8Vy3treGhO6e5tORHV2vinmPunmIdTJncz820zBnlXxywW9leVukkV\nSTVlUvZq08Zbjjby4NxehkKy/IWISOgYbJk5yInqNFccaWRn4xDPzO4v6G4nI0tuBKGSlttQUiZ5\nlc06ZQ7ecqSJHU1DHAzBqv3j0fpN/inm/inm4XeoLsl3Fp3kzUcb+YUDM/nZ3B66q8cvNhu95EYx\nVdpyGzp9KWXtrO5aajLGM839pW6KiEhkDMUd983r4eUZQ7yrYxYru2tAJxoCp6RM8iqHWbLZQ3HW\nnqjngbk9uJDWkY2m2QP/FHP/FPMIMdg6Y5AfLuzi7O46rjrSRHU6AoNphCkpk7KUyMCVR5p4vLWP\nnipd4y0iMlUnq9N8f+FJ+uMZfunALOYNqPIpKErKJK9Ir1Pm4LLORo7WpNjVOFTq1hRM6zf5p5j7\np5hHUzoGj7f28UhrL1cdmcGFx+vRPc2LT0mZlJ0LTtQzMxnn0dbeUjdFRKSs7K9P8t22E7QOJXhX\nx0xmDsdL3aSyoqRM8opqTdmq7hqW99bw4/ndpCLWu1Vr459i7p9iHn0DCce987vZ2TjEuzpm8sc3\nvp+4qkSKImJ/tkTGtqi/igtPNHDv/C4GtR6ZiEhwcmuafWfRSc5cuYRfOjCL+QNacHa6lJRJXlGr\nKWsZivOWI03cP697wvV0wkq1Nv4p5v4p5uWlP5HhAx/7C56c3c+6I428+UgjNbpCc8qUlEnktS+c\nx9sPzeCROb0cqU2VujkiIhVnb8Mw324/STLm+OX9zazo0bpmU6GkTPKKSk1Zddq4+9a/4oVZA+xp\nGC51c6ZFtTb+Keb+KeblKxVzPN7ax4/nd3NWVx3XHJrBDN3cfFIULYmseOb/b+/eg+MsrzuOf8+u\ntJJWd9lGvok7TDAtsbkZCMEhhMEQh14SoGmZNMl0aDOTkDL9o5O202TaZtI0zUyn6UyatClDm04g\nDRlKiAOEayAUYhs7trmk5mKQZWzLlrS67Era1Z7+sa/ctSxZK7H76l3p95nReC/Pvnp1fLw+et5n\nzwMfOtzC489s4+XW0YU+HRERAY7V5fjRmgG6G8bZ0tPG+v4GaqpzVUno1AFOphX5vS8d3t/bTCae\n5y+/9m2++lebKvatKrnRbjHtCRg+xTx8ivnS4AYvtY2yv3Gcy/oa+Wh3Ozvb0+xrHpvzDiuVfg+O\n0obnKsqkKl3Wl6QxF+PhVSncK7twoVIb7cLS22xXRJaWkdo8T3UOsXy0hsv6Grkw1cD2jjTdyXEo\nsThbSu/Bunwp04ryLNkFqXq60gkeWznIxCLKYM0ehE8xD59ivjQdrc/xk1Upti0b4dK+JDe908qK\nUc0LTaWISFU5d6iO9w408NDqFGPqRSYiUj2ssCNAT8MA5w7Vce3hZnrrc+zoGGFQexQDmimTGUSu\nT5nDRQMNbOhPsnXVIMOL8B+w+jeFTzEPn2IubrCvZYz7u/o5lsixpaeNK4420pBTfzMVZRJ9DhuP\nNXL2cB0PrU4xmJhY6DMSEZF3aSIGu9sz3N/VTx747QPtXNXbSPMSbqOhy5cyraisKYs5XHOkmYaJ\nGFtXpRhfxJcstdYmfIp5+BRzmWos7vxi+Qi729NckGpgS08b7zRk2d2WXuhTC52KMoms2rxx3eFm\nxs15dGVqUS3qFxGRE43GnZ0dafa0ZXjPYD3XH2rh3m99mbFMDYfrcyV/WrOa6b85mdZCrymrzxk3\nHmxlsGaCJzuHlkRBprU24VPMw6eYy2xyMWdvW4b/Or2fhx59hquPNvPhg610jSQW/dZNS+C/Oqk2\nzdkYWw628XbjGM8tH5lzo0EREal+eYPv3v8wP1zbz0utGTb0J/mtA21ckKonsUg3PdflS5nWQq0p\nWzYW5/pDLexsz/CrlqW1dZLW2oRPMQ+fYi5z5Qb7m8bZ3zjOytFa3jNYz8X9Sd5KjvOrllF66xbP\npU0VZRIZq9O1bDrSzHMrhqt+c3ERESkzg0MNWQ41ZKmfMM4bqmfTkWayMefVllHeaBojG6vu65u6\nfCnTCnNNWczhkr4k1/Q280Tn4JItyLTWJnyKefgUcymH0bizpy3DD7r62dYxwupMLbe+3c77eptY\nNhZf6NObN82UCRDepttTtY3HueZIM+maPP+9pp9MTXX/liMiIiEyOJjMcjCZpSFXmD374OEWsjHn\njaYx3mgcq6pm4yrK5LhKbfo67YavDhem6nnvQJLtHSP8b/PYolkTMF9aaxM+xTx8irlUSqbG2d2e\nYU9bhs7RGs4aqeMjPW0M107wRuMYbzaNk66JdoGmokxC15iNcU1vMzGHH60ZYKiKfosREZFoc4ND\nDTkONeR4ftkIqzK1nD1cx/oDSfoSE7zZNMb+xjFGI9iMXGvKZFoVWffhhQ3Fb+5p40BynK2rUyrI\nimitTfgU8/Ap5hImDy5vPnvaMN87o4+9rYVZtI92t3PDOy2sXNGx0Kd4As2USSjqJ4yreptoycV5\nZFWKvjrtXykiIuHJG3Q3jtPdOE48D13pBEf7Uwt9WidQUSbTKte6D3O45SPX8ZsH2nmtaZSnOofI\nL/G1YzPRWpvwKebhU8wlCiZihd5nuVy0JghUlFWB/3n+UX76zPcr9w0q0RnZ4ayRBBv6k6y7bQtP\ndA5ypD5X/u8jIiKySKgoqwKDg320b1jB++/cXJHj/8vmr5z02OtPvzy/32gdzgyKsWzMeX7ZCLff\nflfFPtm5mMw75jJvinn4FHORmakoqxLNp7XSdek5FTl2vKYMjfYcTk8nuLg/SR5n27IRDjRkl3yb\nCxERkVKpKJNplfybrENXupYN/Y0YsKM9TXdyXMXYPGj2IHyKefgUc5GZqSiTeUlMGGeNJDh/qJ64\nGzvb07ylYkxERGTe1KdMpjVdL6F4Hs4cTnDdoWZufbud1ZkEu9oyPLBmoLBfpQqyd0X9m8KnmIdP\nMReZmWbK5JTMYeVoLecM13HGSIJjiRyvN4/xs9OGycai1w1ZRESkWqkok5OYwxUbL+LMYwnOHq4j\nEy9s7Pri2oHI7xtWzbTWJnyKefgUc5GZqSgT6usSXLxxPev7G1g5WsuK0RqGavN0J8d5ZNUgA4lo\nNdcTERFZjCq6pszMNpvZq2a2z8z+dIYx/xg8/0sz21DJ85GCxITRNZLgsmNJtvS0snPr3Xzhzt+n\nJm/sbc1w3+n9fP3159jRkVZBFiKttQmfYh4+xVxkZhUryswsDvwTsBlYB3zczC6YMuYm4Fx3Pw+4\nA/hmpc5nyXFoysZYk65lXaqeK482csM7Ldz6Vju3vd3OusF6xmPO9o40G276FDf93l1sX5bmQDLL\neNw5+Mv9C/0TLDmKefgU8/Ap5iIzq+Tly8uB19x9P4CZ3Qv8BvBK0ZibgXsA3P0FM2szs053P1zB\n86p+Dom80TARC77+/3ZLNk5rNk5LNs5YLE+qdoJUYoJU7QTdyXFStRMM1+Txok9Kjo6Nn/QtMql0\niD+QgGK+EBTz8CnmIjOrZFG2Buguun8A2FjCmLWAirIiv3Z+J5+++iLO6GmlIVcovnIxZzSeJxN3\nMvH88a/9jWMM1haKsJwanoiIiFSNShZlpfZLmNrdSn0WpujtG+Ff734Ab66jb2iY/qFhxnPl29x7\ndDhz0mP9b/WW7fhSGsU8fIp5+BRzkZmZe2VqIDO7AviSu28O7n8ByLv7V4vG/DPwlLvfG9x/Fdg0\n9fKlmalQExERkarh7nNuqV7JmbLtwHlmdiZwELgN+PiUMQ8CnwXuDYq4genWk83nBxMRERGpJhUr\nytw9Z2afBR4B4sB33P0VM/vD4PlvuftWM7vJzF4DRoBPVep8RERERKKsYpcvRURERKR0kfp83mzN\nZs3sA2aWMrOdwddfLMR5LhZm9m9mdtjM9pxijJr7ltFsMVeOl5+ZdZnZk2b2kpntNbM7ZxinXC+T\nUmKuXC8vM6s3sxfMbJeZvWxmX5lhnPK8TEqJ+VzzPDLbLBU1m/0Q0ANsM7MH3f2VKUOfdvebQz/B\nxelu4BvAv0/3ZHFzXzPbSKG57xUhnt9idMqYB5Tj5ZUF7nL3XWbWBOwws58Wv7co18tu1pgHlOtl\n4u6jZnatu6fNrAZ41syudvdnJ8coz8urlJgHSs7zKM2UHW826+5ZYLLZ7FRa9F8m7v4M0H+KISc0\n9wXazKwzjHNbrEqIOSjHy8rdD7n7ruD2MIUG1qunDFOul1GJMQflelm5+2Rn3gSFtdx9U4Yoz8us\nhJjDHPI8SkXZdI1k10wZ48BVwbTrVjNbF9rZLU0zNfeVylGOV1DwafANwAtTnlKuV8gpYq5cLzMz\ni5nZLgoN2J9096kbjSrPy6yEmM8pzyNz+ZLSmsa+CHQFU4U3Ag8A51f2tJY8NfcNl3K8QoLLaD8A\nPh/M3pw0ZMp95fq7NEvMletl5u55YL2ZtQKPmNkH3P2pKcOU52VUQsznlOdRminrAbqK7ndRqOKP\nc/ehyalCd/8JUGtmHeGd4pIz9e9kbfCYVIhyvDLMrBa4H/iuuz8wzRDlepnNFnPleuW4ewr4MXDp\nlKeU5xUyU8znmudRKsqON5s1swSFZrMPFg8ws04zs+D25RRaekx3/VbK40HgE3B8h4Zpm/tK+SjH\nyy+I53eAl939H2YYplwvo1JirlwvLzNbbmZtwe0G4Hpg55RhyvMyKiXmc83zyFy+LKXZLPAx4DNm\nlgPSwO8s2AkvAmb2PWATsNzMuoEvArWg5r6VMlvMUY5XwvuA24HdZjb5hvlnwOmgXK+QWWOOcr3c\nVgH3mFmMwoTLf7j746aG7ZU0a8yZY56reayIiIhIBETp8qWIiIjIkqWiTERERCQCVJSJiIiIRICK\nMhEREZEIUFEmIiIiEgEqykREREQiQEWZiFQFM/tzM9sb7CG308wuN7PPB00bZ3vtHxePM7Mfm1lL\nucaLiJSD+pSJSOSZ2ZXA14FN7p4NtimpB34OXOrux2Z5/ZuljJvveBGRctBMmYhUg5XAUXfPAgTb\nlHwMWA08aWaPA5jZN81sWzCj9qXgsTunGbffzDrMrDGYBdtlZnvM7FYz+9xM44Pbnwhm63aZ2T3B\nY7cEr99lZk+HGBcRWUQ0UyYikWdmjcCzQBJ4DLjP3X8WzGhdMrmXnJm1u3u/mcWDcZ9z973TjHsT\nuAS4FrjB3e8IHm9296FTjF8F/BC40t37zKzN3QfMbHdwnHfMrMXdB0MLjogsGpopE5HIc/cRCkXR\nHUAvcJ+ZfTJ42oqG3mZmO4AXgQuBdbMcejdwvZn9rZld7e5DpxhrwAeB708Wa+4+EDz3cwp74P0B\nEdpTWESqi948RKQquHseeBp42sz2AJ+cfArAzM4C/oTCWrCUmd1NYd3ZqY65z8w2AB8G/sbMHnf3\nvz7VSzixCJw8zmfM7PLgODvM7Pgsm4hIqTRTJiKRZ2bnm9l5RQ9tAPYDQ8DkpyJbgBFg0Mw6gRuL\nxhePKz7uKmDU3f8T+PvguDONd+AJ4Jai9WXtwZ/nuPsv3P2LFGby1s7zRxWRJUwzZSJSDZqAb5hZ\nG5AD9lG4lPm7wMNm1uPu15nZTuBVoJvCGrRJ3y4eV/T4rwNfM7M8kAX+6FTj3f1lM/syhdm6CQqX\nST8N/F1QNBrwmLvvLnsERGTR00J/ERERkQjQ5UsRERGRCFBRJiIiIhIBKspEREREIkBFmYiIiEgE\nqCgTERERiQAVZSIiIiIRoKJMREREJAJUlImIiIhEwP8BI8DGPJtxE50AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112157890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "'''Use the estimated parameters and plot the distribution on top of data'''\n",
    "fig, ax = plt.subplots()\n",
    "scol=soft_cmap(random.choice(range(50)))\n",
    "bcol1=bright_cmap(random.choice(range(50)))\n",
    "bcol2=bright_cmap(random.choice(range(50)))\n",
    "# Plot those values on top of the real data\n",
    "ax = df['Background CPU(s)'].hist(bins=20, normed=1, color=bcol1, figsize=(10, 7))\n",
    "ax.set_xlabel('Statistics')\n",
    "ax.set_ylabel('Probability Density')\n",
    "ax.set_title('Background CPU(s)')\n",
    "scol2=bright_cmap(random.choice(range(50)))\n",
    "ax.plot(x_vals,  gamma_p, c=bcol2, label='Gamma')\n",
    "ax.set_axis_bgcolor(scol)\n",
    "ax.legend()\n",
    "#py.iplot_mpl(fig, filename='s6_log-scales')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Lets put everything in a function \n",
    "# Define a function that plots distribution fitted to one month's of data\n",
    "def plot_mom(df, col):\n",
    "    sample_mean=df[col].mean()\n",
    "    sample_var=np.var(df[col], ddof=1)\n",
    "    alpha = sample_mean**2 / sample_var\n",
    "    beta = sample_mean / sample_var \n",
    "    gamma_rv = scs.gamma(a=alpha, scale=1/beta)\n",
    "    # Get the probability for each value in the data\n",
    "    x_vals = np.linspace(df[col].min(), df[col].max())\n",
    "    gamma_p = gamma_rv.pdf(x_vals)\n",
    "    fig, ax = plt.subplots()\n",
    "    # Plot those values on top of the real data\n",
    "    scol=soft_cmap(random.choice(range(50)))\n",
    "    bcol1=bright_cmap(random.choice(range(50)))\n",
    "    bcol2=bright_cmap(random.choice(range(50)))\n",
    "    ax = df[col].hist(bins=20, normed=1, color=bcol1, figsize=(10, 7))\n",
    "    ax.set_axis_bgcolor(scol)\n",
    "    ax.set_xlabel('Statistics')\n",
    "    ax.set_ylabel('Probability Density')\n",
    "    ax.set_title(col)\n",
    "    ax.plot(x_vals, gamma_p, color=bcol2, label='Predicted Values')\n",
    "    ax.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index([u'Background CPU(s)', u'Block changes', u'DB CPU(s)', u'DB Time(s)',\n",
       "       u'Executes (SQL)', u'Global Cache blocks received',\n",
       "       u'Global Cache blocks served', u'Hard parses (SQL)', u'IM scan rows',\n",
       "       u'Logical read (blocks)', u'Logons', u'Parses (SQL)',\n",
       "       u'Physical read (blocks)', u'Physical write (blocks)', u'Read IO (MB)',\n",
       "       u'Read IO requests', u'Redo size (bytes)', u'Rollbacks',\n",
       "       u'SQL Work Area (MB)', u'Session Logical Read IM', u'Transactions',\n",
       "       u'User calls', u'Write IO (MB)', u'Write IO requests'],\n",
       "      dtype='object', name=u'stat_name')"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.columns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lets just pick the following important statistics to estimate:\n",
    "\t* 'Background CPU(s)'\n",
    "\t* 'DB CPU(s)',\n",
    "\t* 'Executes (SQL)',\n",
    "\t* 'IM scan rows',\n",
    "\t* 'Hard parses (SQL)',\n",
    "\t* 'Logical read (blocks)',\n",
    "\t* 'Parses (SQL)',\n",
    "\t* 'Physical read (blocks)',\n",
    "\t* 'Physical write (blocks)'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "columns_of_interest=['Background CPU(s)', 'DB CPU(s)', 'Executes (SQL)', 'User calls', 'Hard parses (SQL)', 'Logical read (blocks)', 'Parses (SQL)', 'Physical read (blocks)', 'Physical write (blocks)']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmUAAAHBCAYAAAAo6sxCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl8VPW9//HXh4QAgbCGJYQt7AEEVxT3pVaqtYu0LnVB\na6211dre3t9ttbfVLrf3WrtY7WZtrahXxRZbq7dq1Spqi40KomyyQwgJa4CwZ/n+/pgJhjhJJmTm\ne86ZeT8fjzzkzJw588mHr4fPfM9nvsecc4iIiIhIsDoFHYCIiIiIqCgTERERCQUVZSIiIiIhoKJM\nREREJARUlImIiIiEgIoyERERkRBQUSYi3pnZA2b2vaDjaC8zu93MHgo4hn+Y2ZQ29hloZkvMLM9X\nXCLScSrKRKRFZrbWzPaaWY2ZbTezp81sSAoO7eI/UdNqzGbW08zuMrN18ZytNLOfmlm/+PNN81ll\nZr83s+5Nnjun2fGuNrNXm2xfCOx0zi1sNUjnNgEvAZ8/wt9TRAKgokxEWuOAjzrnCoAiYBNwT4qO\nbR0+gFluKgJJhfis1ItAKXBePGfTgK3ACfHdmubzWOB44D+bPNdWofoFINmZuv8Frk/6FxCRwKko\nE5GkOOcOAHOACY2PmdkFZrbAzHaa2Xozu63pa8zsVDP7p5lVx5+/qvlxzazAzF4ys7vi2/3M7Kn4\nMcvM7PvNZosazOyLZrYCeC/+2HVmtsLMtpnZk2ZWFH98RHz/Tk1e/7KZXRv/89Vm9pqZ3RmfCVxt\nZtOb7FtiZnPNbJeZ/Q0obCVFVwFDgU8655bFc7bFOfdfzrlnE+RzI/AsMLGVYzbNUx5wFjC3yWNT\nzezNeK6qzOzHTV5SBow0s6HJHF9EgqeiTETaYgBmlg9cAsxr8txu4ArnXC/gAuAGM/t4fP/hwF+B\nnxErZo4Gml52c/HLei8CrzrnvhJ//BdADTAQmEms2Gk+g/RxYrNPE8zsbOAHwKeJzeatAx5r5fdp\nPiM1FVgG9AN+CPyuyXOPAG/En/tePJ6WZrM+BDzjnNvbynvD+/kcCnwEWNDG/o3GAA3xYq7Rz4Cf\nxvM/Eni88QnnXB2wkljeRSQCQjP1LyKhZMCfzawO6A5sBg7NJDnn5jb587tm9hhwBvAk8Bngeefc\n7Pgu2+M/jYqBl4EHnHM/BjCzHOAiYKJzbj+w1MxmAWc2i+u/nXM74q+5HPidc+7t+PYtQLWZDUvy\nd1znnPtd/LUPAr80swFAV2KXF892ztUCr5rZU7R82bUv8GYb79U0nzuBp4kVlMnoTaxYbeogMMbM\nCp1zW4F/NXu+BuiV5PFFJGCaKROR1jjg4865PkAX4CZgrpkNBDCzE+OXHjeb2Q5iPUz94q8dCqxu\n4bhGbGatK3Bvk8f7E/uwWN7ksQ0JXt/0+cbZsVjAzu0BthEr+pJR1eS1jbNcPYDBQLVzbl+TfdfR\nsm3x17TmUD6dcyOcczfGLwsD1AGdm+3fGaiN/7kaKGj2/LXAWGLFa5mZXdDs+QJgRxsxiUhIqCgT\nkaS4mD8B9cAp8YcfAf4MDHHO9QZ+zfszSeuBUS0dDrgPeA74a/zSKMAWYsVJ0z6oRD1RTS8hbgRG\nNG7Ev83YD6gA9sQfzm+y/6AWYmquEujTJDaA4bR8+fIF4Lxm+7fHeqCk2WMlwNr4n1cC1tgvB+Cc\nW+mc+4xzrj9wB/BHM+sGh74EMZrDLxmLSIipKBORtjT2QFm8X6wPsDT+XA9is0kHzWwqsUuWjR4B\nPmRmnzaz3HgD/5Smx3TO3UisWf8pM+vqnKsHngBuN7NuZjYeuJLWv5X4KHCNmU0xsy7ELge+7pxb\n75zbQqw4u9LMcszss7RcKB7GObeO2OXI75hZZzM7FfhoKy95iNgM3hwzG2dmneK/861m9pEk3nI2\n8JX4a83MjgeuId4f55w7SKzwO7PxBWZ2hZn1j2/uJJanhvj2VGCtc67prKKIhJiKMhFpy1NmVkPs\nH/3vAVc55xqLsi8C3zWzXcC3iBUWADjn1gPnA18jdmlvATC58WneL7Q+T+wS5Z/j3zC8kVgfVBUw\ni1jRdbBJPIcVaM65F+PvPYfYrFkJcGmTXa4D/h+xpSkmAP9odqzmBV/T7c8AJxLrhft2PJ6E4kXT\nh4h9aeB5Yvn6F7Fes9dbel0T9wG/B54idslxFnCrc+5vTfa5l1iR2ug8YFH87+enwKVNLodeDvwq\nifcVkZAw59K3fqOZ3U+sb2Szc+6oBM9fDvwHsU/NNcANzrl30haQiESOmd0BDHDOXRN0LGFgZq8B\nX2ptAdn4FxVeBo6OF4siEgHpLspOI/aV+QdbKMqmAUucczvjawPd7pw7KW0BiUjomdk4Yl8qeJfY\nshf/B1zrnPtLoIGJiKRZWpfEcM69amYjWnm+6XpH/wJScfsWEYm2AmKXLAcTu4PAj1SQiUg2CNM6\nZdcSW2hSRLKYc+5NYguliohklVAUZWZ2FvBZ3v+avYiIiEhWCbwoM7PJxL51NN05V93CPulrfBMR\nERFJMedcS3f/aFGgRVn8NihPELt33srW9p2zdF5rT0uKzf75b7nkxs8FHUZWUc79U879U879U879\nm1E67Yhel9aizMweJXYfvEIzKwduI34bEefcvcTW/ekD/MrMAGqdc1PTGZMkZ3NFZdAhZB3l3D/l\n3D/l3D/lPDrS/e3Ly9p4/nOAyncRERHJelrRXxI665PN72ss6aac+6ec+6ec+6ecR0daF49NFTNz\n6ikTkVQ50n6PZOl8JZLdZpROi16jv4TXorL5TJp6bNBhZBXl3K+ZUw9StWsug3qekdLjzirLS+nx\nMk1Yx3m6C3XJXKn8EKaiTEREBIjClSMJl/iXFFNGPWWSUBg/yWY65dy/VM+SSds0zkVapqJMRERE\nJARUlElCi8rmBx1C1lHO/avaNTfoELKOxrlIy1SUiYiIZKmrr76ab33rWwC8+uqrjB8/3sv7durU\nidWrV6f8uCNGjODFF19M+XF9UVEmCanvwz/l3D/1lPmncd5+I0aMID8/n4KCAgYNGsQ111zDnj17\nUnJsMzvUrH7aaaexbNmyNl/zwAMPcNppp6Xk/Zv7whe+wMyZMz/w+MKFC+natSs7duxo9fVNf58o\nUlEmIiISYmbG008/TU1NDfPnz+fNN9/k+9///gf2q6urO6Ljh+lbp1dffTVPPPEEe/fuPezxhx56\niAsvvJDevXsHFJkfKsokIfV9+Kec+6eeMv80zjtm8ODBTJ8+ncWLFwOxy4C//OUvGTNmDOPGjQPg\n6aef5uijj6ZPnz6ccsopvPvuu4dev2DBAo499lh69uzJpZdeyv79+w899/LLLzN06NBD2+Xl5Vx0\n0UUMGDCAwsJCbrrpJpYtW8YXvvAF5s2bR0FBAX379gXgwIED/Pu//zvDhw9n0KBB3HDDDYcd+847\n72Tw4MEMGTKE+++/v8Xf76STTqK4uJg5c+Yceqy+vp5HH32Uq666itWrV3P22WdTWFhI//79ueKK\nK9i5c2fCYzW9NJvo99u4cSMzZsxgwIABjBw5knvuuefQc2VlZRx//PH06tWLQYMG8bWvfa3FmFNJ\nRZmIiEjINc5mlZeX88wzz3DMMccceu7JJ5/kjTfeYMmSJSxYsIBrr72W++67j+3bt3P99dfzsY99\njNraWg4ePMgnPvEJZs6cSXV1NZ/+9KeZM2dOwst99fX1fPSjH6WkpIR169ZRUVHBZZddxvjx47n3\n3nuZNm0aNTU1bN++HYBvfOMbrFy5koULF7Jy5UoqKir47ne/C8Czzz7Lj3/8Y1544QWWL1/OCy+8\n0OrvetVVV/Hggw8e2n7hhReora3l/PPPxznHN7/5TSorK1m6dCnl5eXcfvvtCY/T2qXMhoYGLrzw\nQo455hg2btzIiy++yF133cXf/vY3AG6++Wa++tWvsnPnTlavXs3FF1/casypoqJMElLfh3/KuX/q\nKfNP47z9nHN84hOfoE+fPpx22mmceeaZ3HrrrYeev+WWW+jduzddunThN7/5Dddffz0nnHACZsZV\nV11Fly5dmDdvHq+//jp1dXXcfPPN5OTkMGPGDE444YSE71lWVkZlZSV33nkn3bp1o0uXLpx88smH\n4mke33333cdPfvITevfuTY8ePbjlllt47LHHAHj88cf57Gc/y4QJE8jPz+c73/lOq7/vFVdcwdy5\nc9m4cSMADz74IJdffjk5OTmMGjWKc845h86dO1NYWMhXv/pV5s5teca7pUuzb7zxBlu3buU///M/\nyc3NpaSkhM997nOHYs7Ly2PFihVs3bqV/Px8TjzxxFZjThWt6C8iItKG/cvuaXunJHQdf1O7X2Nm\nPPnkk5x99tkJn296SW7dunU8+OCDh12Kq62tpbKyEuccxcXFh712+PDhCY9ZXl7O8OHD6dSp7bmb\nLVu2sHfvXo477rhDjznnaGhoAKCysvKw4m/YsGGtHm/YsGGcfvrpPPTQQ3zpS1/iySef5NVXXwVg\n06ZN3Hzzzbz22mvU1NTQ0NBw6BJqe6xbt46NGzfSp0+fQ4/V19dz+umnA/C73/2Ob3/725SWllJS\nUsJtt93GBRek/8buKsokobDeny6TKef+pePel9K6qI7zIymmfGl6iW7YsGF885vfPGwmrdHcuXOp\nqKg47LF169YxevToD+w7dOhQ1q9fT319PTk5OS2+H0BhYSHdunVjyZIlFBUVfeBYRUVFrF+//tB2\n0z+3ZObMmdxxxx0MGjSIkpKSQ5drb731VnJycli0aBG9e/fmz3/+MzfdlPjvpnv37od9YaCqquqw\n36+kpITly5cnfO3o0aN55JFHAJgzZw6f+tSn2L59O926dWsz9o7Q5UsREZEMcd111/HrX/+asrIy\nnHPs2bOH//u//2P37t2cfPLJ5Obmcvfdd1NbW8sTTzzBG2+8kfA4U6dOpaioiG984xvs3buX/fv3\n889//hOAgQMHsmHDBmpra4HYlw2uu+46vvKVr7BlyxYAKioqDvVnXXzxxTzwwAMsXbqUvXv3tnn5\nEmDGjBmsX7+e22+/nauvvvrQ47t376Z79+707NmTiooK7rzzzhaPcfTRR/PXv/6V6upqqqqquOuu\nuw77/QoKCvjhD3/Ivn37qK+vZ9GiRbz55psAPPzww4d+l169emFmSc0adpSKMkkoip9ko04590+z\nZP5pnKdW81mr4447jvvuu48bb7yRvn37MmbMmENN8507d+aJJ57ggQceoF+/fjz++OPMmDEj4fFy\ncnJ46qmnWLlyJcOGDWPo0KE8/vjjAJxzzjlMnDiRQYMGMWDAAADuuOMORo8ezUknnUSvXr0499xz\nD81CTZ8+na985SucffbZjB07lnPOOafNtcTy8/OZMWMGFRUVXH755Ycev+2225g/fz69evXiwgsv\nZMaMGS0e68orr2TKlCmMGDGC6dOnc+mllx72+z399NO8/fbbjBw5kv79+/P5z3+eXbt2AfDcc88x\nadIkCgoK+OpXv8pjjz1Gly5d2v4L6SAL0/okLTEzN2fpvKDDEJEMMaN0GjOnHkzLsWeV5aHzVfTM\nKJ0WqvW6JBrMLOH/7/Hx1O5VbDVTJglpLSH/lHP/tE6ZfxrnIi1TUSYiIiISAirKJCH1ffinnPun\nnjL/NM5FWqaiTERERCQEVJRJQur78E859089Zf5pnIu0TEWZiIiISAioKJOE1Pfhn3Lun3rK/NM4\nF2mZbrMkIiLCBxdiFfFNRZkkFNX700WZcu6f7n3pX1jHeSYv+BvWnMsH6fKliIiISAioKJOE9KnK\nP+XcP82S+adx7p9yHh0qykRERERCQEWZJKS1hPxTzv3TOmX+aZz7p5xHh4oyERERkRBQUSYJqQfB\nP+XcP/WU+adx7p9yHh0qykRERERCQEWZJKQeBP+Uc//UU+afxrl/ynl0qCgTERERCQEVZZKQehD8\nU879U0+Zfxrn/inn0aGiTERERCQEVJRJQupB8E859089Zf5pnPunnEeHijIRERGREFBRJgmpB8E/\n5dw/9ZT5p3Hun3IeHSrKREREREJARZkkpB4E/5Rz/9RT5p/GuX/KeXSoKBMREREJARVlkpB6EPxT\nzv1TT5l/Guf+KefRoaJMREREJARUlElC6kHwTzn3Tz1l/mmc+6ecR4eKMhEREZEQUFEmCakHwT/l\n3D/1lPmnce6fch4dKspEREREQkBFmSSkHgT/lHP/1FPmn8a5f8p5dKgoExEREQkBFWWSkHoQ/FPO\n/VNPmX8a5/4p59GhokxEREQkBFSUSULqQfBPOfdPPWX+aZz7p5xHh4oyERERkRBIa1FmZveb2SYz\ne7eVfe42sxVmttDMjklnPJI89SD4p5z7p54y/zTO/VPOoyPdM2W/B6a39KSZnQ+Mds6NAT4P/CrN\n8YiIiIiEUlqLMufcq0B1K7t8DJgV3/dfQG8zG5jOmCQ56kHwTzn3Tz1l/mmc+6ecR0fQPWXFQHmT\n7Q3AkIBiEREREQlM0EUZgDXbdoFEIYdRD4J/yrl/6inzT+PcP+U8OnIDfv8KYGiT7SHxxz7gnlu+\nx4DiIgDyC3pQUjr20EBrnJrVtra1re1ktxs1XsJsLNA6ut34HkH/ftrWtrb9nk8Wl81nc0UlHWHO\npXdiysxGAE85545K8Nz5wI3OufPN7CTgLufcSQn2c3OWzktrnHK4pv+oiB/KuT8zSqcxc+pBqnbN\nTfls2ayyPHS+apnGuX/KuX8zSqfhnGt+JbBNaZ0pM7NHgTOAQjMrB24DOgM45+51zv3VzM43s5XA\nHuCadMYjIiIiElZpLcqcc5clsc+N6YxBjow+VfmnnPunnjL/NM79U86jIwyN/iIiIiJZT0WZJNS8\nGVrSTzn3T+uU+adx7p9yHh0qykRERERCQEWZJKQeBP+Uc//UU+afxrl/ynl0qCgTERERCQEVZZKQ\nehD8U879U0+Zfxrn/inn0aGiTERERCQEVJRJQupB8E859089Zf5pnPunnEeHijIRERGREFBRJgmp\nB8E/5dw/9ZT5p3Hun3IeHSrKREREREJARZkkpB4E/5Rz/9RT5p/GuX/KeXSoKBMREREJARVlkpB6\nEPxTzv1TT5l/Guf+KefRoaJMREREJARUlElC6kHwTzn3Tz1l/mmc+6ecR4eKMhEREZEQUFEmCakH\nwT/l3D/1lPmnce6fch4dKspEREREQkBFmSSkHgT/lHP/1FPmn8a5f8p5dKgoExEREQkBFWWSkHoQ\n/FPO/VNPmX8a5/4p59GhokxEREQkBFSUSULqQfBPOfdPPWX+aZz7p5xHh4oyERERkRBQUSYJqQfB\nP+XcP/WU+adx7p9yHh0qykRERERCQEWZJKQeBP+Uc//UU+afxrl/ynl0qCgTERERCQEVZZKQehD8\nU879U0+Zfxrn/inn0aGiTERERCQEVJRJQupB8E859089Zf5pnPunnEeHijIRERGREFBRJgmpB8E/\n5dw/9ZT5p3Hun3IeHSrKREREREJARZkkpB4E/5Rz/9RT5p/GuX/KeXSoKBMREREJARVlkpB6EPxT\nzv1TT5l/Guf+KefRoaJMREREJARUlElC6kHwTzn3Tz1l/mmc+6ecR4eKMhEREZEQUFEmCakHwT/l\n3D/1lPmnce6fch4dKspEREREQkBFmSSkHgT/lHP/1FPmn8a5f8p5dKgoExEREQmB3KADkHBaVDZf\nn648U879q9o199BsmVkDw0ZsZfzEDZROqKBrt4PU7OpGTU232H+b/9R0pWZXN+rrcwL+LaJF49w/\n5Tw6VJSJSJZy9Oq9h9POWEzpxArGllawc0c+yxYP4cXnJlNT05WCgv0U9NxHQc999O6zh6HDt1LQ\ncx89CvbRs+c+8vMPsnDBcOa+OImVywcBFvQvJSIRZs65oGNok5m5OUvnBR2GiESc0cBAdvD2Hx7i\nY2eeR25uPcuWDGHpoiEsW1LMzh3d23W8rt0OMO3U5ZxxziLq6nKY+8Ikbv75VB58S9/qFMlmM0qn\n4Zxr96c0zZSJSFbozW4msZZacnlkRSXlCz5CZUUfOjK7tX9fF156/ihefmES4yds4IxzFvPei99h\nF+tYzwD20C11v4CIZDw1+ktCWtfGP+U8PXKpYyLrOJaVrKKIfzGOXzw0l8qKvlTteiUl7+GcsXTx\nUH5993ROnvFD6snhJJZxAu8xgGog/FckfNE49085jw7NlIlIhnIMoppS1rOF3rzCJOo8nPLWb6xm\nOUNYyWAGsZ3RVDKWCt5mFLs1cyYirVBRJgnpmzr+Keep05UDTGQ9+eznbUZRTUHC/dK5TlkDndhI\nIRvpxxC2ciLLWEEx6+lPNn8hQOPcP+U8OlSUiUgGcYxgE6OpZC0DWcAoGgLv0jA20J9qenA0qylk\nJ+9SQq1OvyLSjM4KkpDWtfFPOX/fjNJp7X7NlNIh/OK7l7J5934u+c5sVq7d0uZrmq5Tlm576MY8\nShnLBk5lEQsZyXZ6ennvMNE49085jw4VZSISSjOnHkx63/ETNnDtDS/wxOyTmPfaOE4Z8BNOGdDy\n/rPK8lIQYfs10IllDGMrvTia1WygkBUMxgU+myciYaAzgSSkT1X+KedHpnRSOZ+94QXuvec85r02\nnvb0awV178ut9OI1JtKTvUxjGfnsDySOIGic+6ecR0daizIzm25my8xshZl9PcHzhWb2rJm9bWaL\nzOzqdMYjIpll4uT1XHP9i9x793msXF4UdDjtcpDOvMkYNtKXaSxlMFuDDklEApa2oszMcoCfA9OB\nCcBlZlbabLcbgQXOuaOBM4Efm5kuqYaA1rXxTzlvn6OmrGPmdX/nV3dNZ9WKIyvIqnYFvfK+sZZB\nlDEuvnTGBjJ9TTONc/+U8+hI50zZVGClc26tc64WeAz4eLN9KuFQp2tPYJtzri6NMYlIBphyzBqu\nvPZlfvnTj7Bm1aCgw+mwGvKZx3gGsINxWVCYiUhi6SzKioHyJtsb4o81dR8w0cw2AguBm9MYj7SD\nehD8U86Tc/Rxq7n8mlf4+U/OZ+3qgR06VlA9ZYnU0pl/MZ5CdjGecjK1MNM49085j450XipM5oxy\nK/C2c+5MMxsFPG9mU5xzNWmMS0Qi6tgTVnHJFa9xz48uoHx9YdDhtOhIlvRo1KdXPk/99ouseusx\n/uN//pRwnzlL5x3x8UUkvNJZlFUAQ5tsDyU2W9bUycB/ATjnVpnZGmAc8Gbzg91zy/cYUBzrG8kv\n6EFJ6dhD1X/j9XJtp257zdLlXDjz0tDEkw3bjY+FJZ6gtxs19n199NxiPv2Zf/K1r/dh6+bFh2a5\nGp9v73bzP3f0eE1n3c4b/3yHjvfD79dyxw+OY2LRTdz9qzrADj0/qyzvsHWnwvL3lez2U7Me0/nb\n87bO537OV4vL5rO5opKOMOfSM0Ueb9h/DzgH2AiUAZc555Y22ecnwE7n3HfMbCDwFjDZObe92bGc\nPhn6pcUG/VPO3zejdNph65RNnbaciy55nbvv/CgbK/p2+PizyvKYOfVgWhaPbTx2R3XLP8BNX/s/\n1q/tz+yHT8U5O3T8KJ8PNc79U879m1E6Ddf4P207pK2nLN6wfyPwHLAEmO2cW2pm15vZ9fHdfgAc\nb2YLgReA/2hekEkw9D+wf8p5Ykcft5qLLnmdn/0wNQVZU2HqKWtu394u3H3nRxk6fCuXXfUqZpnR\nY6Zx7p9yHh1pXafMOfeMc26cc260c+6/44/d65y7N/7nrc65C51zU5xzRznnHklnPCISLQMG7uDy\nq1/hl3d9hMqNqS3IomD//jzu/tEFDB6yncuvnpsxhZmIJKYV/SUhrWvjn3J+uM6d67juS8/z1J9O\nYP3a/ml5j+DXKWvbgf153PPj8xlYtJMrPvsynTq1+4pIqGic+6ecR4eKMhEJpU9f/g+qKnvzyt8n\nBB1K4A7sz+OeH51PYf8afvndy8jU5TJEsp2KMklIPQj+Kefvu/TC4xk7fiMP//4M2nMvy/YKc09Z\ncwcPdubnP/kIE8cUMYqOfcMrSBrn/inn0aGiTERCpTv7+OE3LuK+X3yYA/vzgg4nVGoPdubiG+9j\nGJsZQHXQ4YhIiqkok4TUg+Cfcg451HMsq/jWT/5CRXm/tL9fFHrKmqvcsov5jOYo1lLA3qDDaTeN\nc/+U8+hQUSYiIeGYyDp2ks+sOa8HHUyo7aQHSxjGcawgj9qgwxGRFFFRJgmpB8G/bM/5ELbSiz0s\nZri394xST1lzlfRjI/04lpUYDUGHk7RsH+dBUM6jQ0WZiASugL2MYwMLGE09OUGHExnLKeYguUxi\nHfpGpkj0qSiThNSD4F+25jyHeo5hFUsZym66eX3vKPaUHc5YyEh6sYcRbAo6mKRk6zgPknIeHSrK\nRCRAjqNYy3Z6sJHCoIOJpHpyeIsxjKSKQnYGHY6IdICKMklIPQj+ZWPOh7GFHuxjicc+sqai3FPW\n1D66sIBRTGE13dkXdDitysZxHjTlPDpUlIlIILqzn7FUsIDRNOhU1GHVFPAeQziOleRSF3Q4InIE\ndCaUhNSD4F925Ty2/MUqithD18CiiH5P2eE20J8t9OIYVmEhbfzPrnEeDsp5dKgoExHvithOHrWs\nZWDQoWScZQwFYCwbAo5ERNpLRZkkpB4E/7Il57nUUUo5ixiBS+N9LZORKT1lTTmMtxnJYLbRL4SN\n/9kyzsNEOY+O3LZ2MLOfAL9zzi32EI+IZLixVLCZ3uygR9ChRNaM0mlt7nPWtLHc94Mr+NRFP2Rr\n9e6kjz1n6byOhCYiHdBmUQYsBX5jZp2B+4FHnXPh+/glKbWobL4+XXmWDTnvxR6K2M4rHBV0KECs\npyyKs2Uzpx5se6d6WPzWPJ7+xRR+ddd0SGJWclZZ+m8Anw3jPGyU8+ho8/Klc+4+59wpwFXACOBd\nM3vEzM5Kd3Aikkkck1jLMoZSm9TnQemoJ+dMpXfvvZxxti50iERBUj1lZpYDjAdKgS3AQuDfzGx2\nGmOTAOlTlX+ZnvPhbKaOHCroF3Qoh0Rxlqw96utz+N2vzuGjn3yTwcXbgw4HyPxxHkbKeXS0WZSZ\n2U+B94D+TIb5AAAgAElEQVTzgf9yzh3nnLvDOXchcHS6AxSR6OvCQcawMX6z8WCb+7PN5k29eeLx\nk7j2hhfo3Fnrl4mEWTIzZe8AU5xzn3fOlTV77sQ0xCQhoHVt/MvknJdSznr6e7+3ZVsybZ2ylsx7\ndRwbK/pw0SWvBx1KRo/zsFLOoyOZouxK59yepg+Y2YsAzrkdaYlKRDJGITvpzW5WUhR0KFnMeGTW\n6Uw+ei1HTVkXdDAi0oIWizIz62Zm/YBCM+vb5GcEUOwrQAmGehD8y8Scd6KBiaxjMcNpICfocD4g\n03vKmtq3twv333sOV3z2ZXr22tP2C9IkE8d52Cnn0dHaTNn1wJvAOOCtJj9/AX6e/tBEJOpGUUkN\n+Wyhd9ChCLBqRRGvvjSBaz7/d8zCeRsmkWzWYlHmnLvLOVcC/LtzrqTJz2TnnIqyDKceBP8yLefd\n2c9wNrMkftufMMqWnrKm/vqX4+icV8+Hpi8M5P0zbZxHgXIeHa1dvjw7/seNZnZR8x9P8YlIJL1/\nw/H9dAk6GGmioaET9//6HM49/22GjdgSdDgi0kRrly8bmy0ubOFHMph6EPzLpJxH5Ybj2dRT1tT2\nbQXMfuhUrr3hBfLyar2+dyaN86hQzqOjxWW1nXO3xf97tbdoRCTyOtHAODawkJGB33BcWvZW2Wgm\nH7OOj3+qjD88ckrQ4YgIyS0ee7OZ9bSY35nZfDM7z0dwEhz1IPiXKTkfxmZ2041qCoIOpU3Z2FPW\n1OMPn8LxJ65i5Ogqb++ZKeM8SpTz6EhmnbJrnXO7gA8DfYndA/N/0hqViERSDvWMopL3GBJ0KJKE\nPXu68thDp3LVtS+Tq9X+RQKXTFHWeP3hAuAh59yiNMYjIaEeBP8yIeclVLGVXtSQH3QoScnWnrKm\nFrw5kooNffnoJ97y8n6ZMM6jRjmPjmSKsrfM7G/E7n35nJn1BBrSG5aIRE0etYxgE8sZHHQo0k6P\nPXQqJ5+2jGMnhnf5EpFskNTlS+AW4Pj47ZY6A9ekNSoJnHoQ/It6zkdRyUb6sY+uQYeStGzvKWtU\nsyufPz46jV//12ewNH/mjvo4jyLlPDraLMqcc/XAJmCCmZ0OTAItzy0i7+vKAYrZykrNkkVW2bwx\nrN9YzWgqgw5FJGu1uCRGIzO7A7gEWALUN3nqlXQFJcFTD4J/Uc75WDayjgEcpHPQobSLesqaMr58\n+2yWnHU0VfRJW19glMd5VCnn0dFmUQZ8EhjnnDuQ7mBEJHp6sI/+7GAuRwUdinTQxs07eY8hTGYN\n/2SC1pkT8SyZnrJVQF66A5FwUQ+Cf1HN+Vg2sJoi6pL6jBcu6in7oA0UcpBcSkjP2mVRHedRppxH\nRzJn0X3A22b2ItA4W+acc19OX1giEgW92U0v9vI2o4IORVLGeJcRnMoSNtGbPXQLOiCRrJFMUfaX\n+I+Lb1uTP0uGUg+Cf9HLuWMcG1jBYBqSmnQPH/WUJbafLiynmMmsYR6lkMLLmNEb59GnnEdHm0WZ\nc+4BM8sHhjnnlnmISUQioJBddKGWCgqDDkXSYD39KWI7I9jEWgYFHY5IVkjm3pcfAxYAz8a3jzGz\nv6Q7MAmWehD8i1bOY7Nk71Ec6WZw9ZS1JnYZczSV5LM/ZUeN1jjPDMp5dCRzzeF24ESgGsA5twAY\nmcaYRCTkitiOw9hEn6BDkTTaS1dWUcRRrEVdKyLpl0xRVuuc29HsMd1mKcOpB8G/qOTcaGAsFfGb\njkd3lgzUU5aMtQwkl3qK2ZaS40VlnGcS5Tw6kinKFpvZ5UCumY0xs3uAf6Y5LhEJqaFsZS9d2EbP\noEMRDxzGIoYznnI6Uxd0OCIZLZmi7CZgIrHlMB4FdgFfSWdQEjz1IPgXhZx3op7RbGQ5Q4IOJSXU\nU5acnfSgkr6Mp7zDx4rCOM80ynl0JPPtyz3ArfEfEcliw9jCDnqwk+5BhyKeLaeY01hEH2qopiDo\ncEQyUqszZWZ2tZnNN7O98Z83zWymr+AkOOpB8C/sOe9EAyOpYiVFQYeSMuopS14duSxlGJNYi3Wg\nrTjs4zwTKefR0WJRFi++bga+BgwGioH/AL5sZlf5CU9EwqKYrewin12aJctaVfRhH10YmaZbMIlk\nu9Zmyr4IXOSce8k5t8M5V+2c+zswA/iSn/AkKOpB8C/MOTcco6hiVQbNkoF6ytrPWMxwSthEtyNc\nuyzM4zxTKefR0VpRVuCcW9P8QefcWlBDgUg2KWIb+8hTL5Gwjy6sZhATWY/WLhNJrdaKstY+BqVu\neWcJJfUg+BfenDtGU5lRvWSN1FN2ZNYwkG4cZFBsTfF2Ce84z1zKeXS09u3LUjN7t4XnRqUjGBEJ\nn0FUU0eO1iWTQxydWMRwjmEVW+lJXdtf5BeRJLQ2U1YKXNjCz4T0hyZBUg+Cf+HMuWPUoVmyaK/e\nn4h6yo5cNQVsoRdjqWjX68I5zjObch4dLX68ifeOiUgW689ODMdmegcdioTQMoZyOu9SQT920iPo\ncEQiL5kV/SULqQfBv/DlPDZLtipDZ8lAPWUdVUsuyxjKJNZhSTb9h2+cZz7lPDpUlIlIQn2poQu1\nVNI36FAkxCroRy05DGdT0KGIRF6bRZmZfczMjqh4M7PpZrbMzFaY2ddb2OdMM1tgZovM7OUjeR9J\nPfUg+Be2nI/O8FkyUE9ZasTWLhtNJV052ObeYRvn2UA5j45kiq1LgJVm9kMzG5/sgc0sB/g5MJ3Y\nFwMuM7PSZvv0Bn4BXOicmwR8KunIRSRterGb7uyngn5BhyIRsIdurGMApawPOhSRSGuzKHPOXQ4c\nA6wGHjCzeWb2eTNraxXJqcBK59xa51wt8Bjw8Wb7fAaY45zbEH+vre3+DSQt1IPgX5hyPppKVjMI\nl+EdDuopS51VDKIXeyhkZ6v7hWmcZwvlPDqSOuM653YCfwRmE7sP5ieBBWb25VZeVgyUN9neEH+s\nqTFAXzN7KX6z8yuTjlxE0qKAvfRiD+X0DzoUiZAGcljCMCawnk4duGG5SDZrc8U/M/s4cDWxAupB\n4ATn3GYzyweWAHe38NJkvorTGTgWOAfIB+aZ2evOuRVJvFbSaFHZfH268iwsOR9FJWsYSEOGz5JB\nrKdMs2Wps5k+DGULI9jE6gR3gJhROi2t7z9n6by0Hj+qwnJukbYlswzzRcBPnXOvNH3QObfXzD7X\nyusqgKFNtocSmy1rqhzY6pzbB+wzs1eAKcAHirJ7bvkeA4pj/5PnF/SgpHTsoUHW2MSo7dRtr1m6\nPFTxZMN2oyDj6c4+lpS9yduMZMLUolDko7EZv7F4StV2uo7f+Fiq4/V1/I7+/T1Wtp1JLKDr1E+w\nny4feP6EoT+ib/cpKY//uWXnpiT+TNzW+dzP+Wpx2Xw2V1TSEeZc6xNaZvZD59x/NHvsDudcwm9T\nNtknF3iP2CzYRqAMuMw5t7TJPuOJfRngPKAL8C/gEufckmbHcvoEJJJ+k1nDXvJY+YFOA79mlE5j\n5tS2v8l3pGaV5aXt+Ok8drqPP6ssLyWzTaOpoCf7mM/owx5P599rqmIXSYUZpdNwzrX7q+vJXJ84\nN8Fj57f1IudcHXAj8Byxy5yznXNLzex6M7s+vs8y4FngHWIF2X3NCzIR8aMrBxhANWsZGHQoEnGr\nKaKAvW02/YvI4VosyszshvgNyceZ2btNftYSK6La5Jx7xjk3zjk32jn33/HH7nXO3dtknx855yY6\n545yzrXUnyaeaV0b/4LO+SiqKKd/Vt1cWuuUpUcDnVjCMCay7gNN/8q5f0GfWyR5rZ19HwGeAf4H\n+DrvryBZ45zblu7ARMSfPGoZzDbmclTQoUiG2EJvathCCVWsYnDQ4YhEQmuXL138puRfAmqAXfEf\nZ2a670qG0zd1/Asy58PYTCV9OUjnwGIIgr55mV5LGUYJVXTjwKHHlHP/dD6PjtZmyh4FLgDeIvHy\nFiVpiUhEvOpEA8PZzOskfcMOIP3LG0gwUv33+vUvfJjjJi7g4pt+m9LjimSiFosy59wF8f+O8BaN\nhIbWtfEvqJwXs5Ud9GAP3dr92nR+k84HrVP2Qan+O936Tj0nXjKbO6/7Ov/vvjHKeQB0Po+OFosy\nM2v1b9A5p85BkchzlLCJdxkRdCCSoerqcnjs4VO57KrX+NaD2XV5XKS9Wrt8+RNaX5X/rBTHIiGi\nT1X+BZHzAeygjk5U08P7e4eBZmz8WPLuMMrX9ePfrj2HijeVc990Po+O1i5fnukxDhEJwEiqWMMg\n3v9ytUh6/OGRk/nat9/lrnW72LqlZ9DhiIRSa+uUnR3/7wwzu6j5j78QJQha18Y/3znvxW66cpAq\nsvfL1Fozy5/q7QX87P6/M+rYXwUdStbR+Tw6WlsSo3GO+cIWfkQkwkZSxVoG4jRLJp78bNZL9Omz\nh6OOXht0KCKh1Nrly9vi/73aWzQSGupB8M9nzruxn37U8E6Wr2yjnjK/amvrWbfoOj4z8xWWLR5C\nbW323D0iSDqfR0eb9740s0Izu8fMFpjZfDP7mZn18xGciKRHCZsop5B6coIORbLM0kVDKV/Xn/Mu\nWBB0KCKhk8wNyR8DNgMXAZ8CtgCz0xmUBE89CP75ynln6hjMNt14HPWUBaFq11z+8Mg0zjx3EYX9\ndwUdTlbQ+Tw6kinKBjnnvuecW+OcW+2c+z7obC4SVcPYzGZ6cwA/C7SKNFe9vYDnn5nCpy//R9Ch\niIRKMkXZ38zsMjPrFP+5BPhbugOTYKkHwT8fOW+8pVJsGQxRT5l/jTl/8dkpDCrawVFT1gUcUebT\n+Tw6WlsSY7eZ1QDXAf8LHIz/PAp83k94IpJKg9lGDd2oIT/oUCTL1dXlMPuhU7n4in+Q27ku6HBE\nQqHFosw518M5VxD/6eScy43/dHLOFfgMUvxTD4J/6c+5o4QqVmuW7BD1lPnXNOdLFg2lfF0/Pnz+\n2wFGlPl0Po+OZC5fYmZ9zGyqmZ3e+JPuwEQktfqzE4exDa2mLuHxh0dO5uxzF9GvUE3/IsksiXEd\n8AqxPrLvAM8Bt6c3LAmaehD8S3fO358l02KxjdRT5l/znFdvL+DF547i05/5Z0ARZT6dz6MjmZmy\nm4GpwFrn3FnAMcDOtEYlIinVkz10Zz+VWXxLJQmv5585msHF25k0WU3/kt2SKcr2O+f2AZhZV+fc\nMmBcesOSoKkHwb905rzk0C2VkupYyBrqKfMvUc7r6nJ47GE1/aeLzufRkcwZutzM+gB/Bp43s78A\na9MalYikTFcO0J+dlNM/6FBEWrTk3WFs3NCXcz+yMOhQRALTZlHmnPukc67aOXc78C3gt8An0h2Y\nBEs9CP6lK+cj2EwFhdS1fKvbrKWeMv9ay/kfHjmZcz78rpr+U0zn8+hI9tuXx5nZzcBkYINz7mB6\nwxKRVMihniFs0S2VJBK2be3Ji39T079kr2S+fflt4AGgL1AI/N7MvpXmuCRg6kHwLx05H8JWttGT\nfXRJ+bEzgXrK/Gsr588/M4XBQ7YzcfJ6TxFlPp3PoyOZmbIrgBOcc7c5574NnARcmd6wRKTjHCPY\npFkyiZS62lxmP3wql1zxmpr+JeskU5RVAN2abHcFNqQnHAkL9SD4l+qcD2AHteRSTY+UHjeTqKfM\nv2RyvvidYVSUa6X/VNH5PDpau/flPWZ2D7E1yRab2QNm9gCwCK1TJhJ6JWxiDQPRYrESRY//b2yl\n/8L+avqX7NHaTNlbwJvAn4BbgZfiP98ktjyGZDD1IPiXypz3ZA/57KeKPik7ZiZST5l/yea8ensB\nzz8zhUuueA1w6Q0qw+l8Hh0tfkfeOfdA45/NrAswNr65zDlXm+a4RKQDRrCJdVosViLuhWcnc9Kp\n7zHl2LUsnF8SdDgiaZfMty/PBJYDv4j/rDAzNWJkOPUg+JeqnHfhIAPZwXotFtsm9ZT5156c19fn\n8Ois07j4M/8gL09zAUdK5/PoSOZj9E+ADzvnTnfOnQ58GPhpesMSkSM1nM1spJ8Wi5WMsHxZMatW\nDuIjH9MlOMl8yRRluc659xo3nHPLaeWyp2QG9SD4l4qcd6KBoVosNmnqKfPvSHL+x0encdqZSxlY\nVJ2GiDKfzufRkUxR9paZ/dbMzjSzs8zst8S+ACAiIVPMNnbQnT10DToUkZTZtbM7f/3LsVx2pZr+\nJbMlU5R9AVgKfBm4CVgM3JDOoCR46kHwr+M5d4ygirUMSkk82UA9Zf4dac5ffmESPQr2c/yJq1Ic\nUebT+Tw6Wr0MaWa5wELn3Hjgx35CEpEjUcguHMY2CoIORSTlGho68eiDp/K5L77AooXD2L8/L+iQ\nRFKu1Zky51wd8J6ZDfcUj4SEehD862jOS6iK95JpsdhkqafMv47kfNWKIpYsGsJHP6kOmvbQ+Tw6\nkrl82ZfYiv5/N7On4j9/SXdgIpK8HuyjJ3vZSL+gQxFJqz89fhJTT15O8dBtQYciknLJfIvyP+P/\nbfrxW52WGU49CP51JOexxWIH0KDFYttFPWX+dTTnu2u68dQTJ3DZVa/y4x98HOc0M9wWnc+jo7V7\nX3Yzs68CFwPjgX84516O/2jOXyQkOlNLEdtZz4CgQxHx4rWXS8nNreekU95re2eRCGntY/Us4Djg\nHeB84EdeIpJQUA+Cf0ea82FsoYo+HKRziiPKfOop8y8VOXeuE4/MOo1PfPpf5Hffn4KoMpvO59HR\nWlFW6py7wjl3LzADON1TTCKSJKOB4WzWYrGSddavHcCCN0fyyYv/FXQoIinTWlFW1/iH+LcwJYuo\nB8G/I8l5EdvZTTdqyE9DRJlPPWX+pTLnf/7jVCZNXs+oMZUpO2Ym0vk8OloryiabWU3jD3BUk+1d\nvgIUkZY4StjEGs2SSZbav68Lf/jfk7n8mlfo3Dkn6HBEOqzFosw5l+OcK2jyk9vkzz19Bin+qQfB\nv/bmvC815NDAFnqlKaLMp54y/1Kd8/lvjmTrlgK+cs3ZKT1uJtH5PDr0/XmRiCphkxaLFcGY/dCp\nfPnqs8hHTf8SbSrKJCH1IPjXnpzns5/e7GaDFovtEPWU+ZeOnG/b2pMf3/cCE1mHltH8IJ3Po0NF\nmUgEjWAT5fSnAfXRiAD8/KGX6UItg9kedCgiR0xFmSSkHgT/ks15LnUMZhvrtFhsh6mnzL905byu\nroF3GcF4yslFCwY0pfN5dCRzmyURCZFhbGEzvTlAXqv7zSid5ikikXDYSQ820YfxbGARI4IOR6Td\nVJRJQupB8C+ZnMcWi93EW4xJ6pgzpx7saFgtmlXWelEYBeop8y/dOX+PYk5nEX2ooZqCtL5XVOh8\nHh26fCkSIUVUs5eu7KJ70KGIhFIduSxhGJNYh9EQdDgi7aKiTBJSD4J/befcMYIq1jDISzzZQD1l\n/vnIeRV92EceI6lK+3tFgc7n0aGiTCQi+rCbztSzWYvFirTBWMxwStiktcskUlSUSULqQfCvrZyX\nHJol02KxqaKeMv985XwfXVjFIK1dhs7nUaKiTCQC8tlPH3ZTocViRZK2loF0oZYirV0mEaGiTBJS\nD4J/reV8OJvYQCH1Wiw2pdRT5p/PnDs68S4jKKWcztR6e9+w0fk8OlSUiYRcLnUUsy1+n0sRaY+d\n9KCSvkxgfdChiLQprUWZmU03s2VmtsLMvt7KfieYWZ2ZXZTOeCR56kHwr6WcD2ULW+jV5mKx0n7q\nKfMviJy/RzG92UN/dnh/7zDQ+Tw60laUmVkO8HNgOjABuMzMSlvY7w7gWdTBLHIYwzGCzVoGQ6QD\nGsjhXUYwibW6BZOEWjpnyqYCK51za51ztcBjwMcT7HcT8EdgSxpjkXZSD4J/iXI+iO3spYsWi00T\n9ZT5F1TOt9OTLfRmPBsCef8g6XweHeksyoqB8ibbG+KPHWJmxcQKtV/FH8ru7y2LHMZRwibWqJdM\nJCWWMYT+7KAfu4IORSShdN77MpkC6y7gG845Z2aGLl+GhnoQ/Gue897spjN1bKZ3QBFlPvWU+ZfO\nnM8ondbmPtPPmMCPb/0U53/if9i7r333hp2zdN6RhhYonc+jI51FWQUwtMn2UPjAvPFxwGOxeoxC\n4CNmVuuc+0vzg91zy/cYUFwEQH5BD0pKxx4aaI1Ts9rWdiZtXzm1J2sZyKKyBUf0+kaNl4sa/zFM\n1baOn3i78bFUx+vr+FHdBpg59WDb+2+ay99emM/j//0cf3jklKSP/9yyc4HwnB+0Ha5tgMVl89lc\nUUlHmHPpuWJoZrnAe8A5wEagDLjMObe0hf1/DzzlnHsiwXMuqp9QompR2Xx9uvKsac67cYBTWMJL\nTD7itclmlE5j5tT2zQS0x6yyvLQdP53Hbnr8psVNqo+dLlHP+3njn0/LbFl7Yu/efT/f/sHj/Pru\nD7NmVXJfoplVlhfZmTKdz/2bUToN51y7r/6lrafMOVcH3Ag8BywBZjvnlprZ9WZ2fbreVyQTjGAT\n5VosViQt9uzpyuyHT+Gqa+eSm1sfdDgih6R1nTLn3DPOuXHOudHOuf+OP3avc+7eBPtek2iWTIKh\nT1X+NeY8tljsVtapwT/t1FPmX1hyPv+NkVRV9ub8j78VdChpp/N5dGhFf5GQGc5mNtOH/VosViSN\njEcfPJVTz1zCkGFbgw5GBFBRJi3Qujb+LSqbTycaGMEmVmuxWC+0Tpl/Ycr5rp3d+dPsk7jq2pfp\nlJO5lzF1Po8OFWUiIVLMVnbSnd10CzoUkaww77Vx1OzqxrkfWRh0KCIqyiQx9SD4N2nqMZSwiVUU\nBR1K1ghLf1M2CV/Ojf994HQ+dN47DCqqDjqYtND5PDpUlImExEB2UEsO1fQIOhSRrLJ9WwF/mTOV\na67/e0ZfxpTwU1EmCakHwTdHVdlL8RuP68YWvoSpvylbhDXnr75cyq6d3bjgY5l37tP5PDpUlImE\nQB92k0s9VfQJOhSRLGU8dP8ZnHrmEkaM3BR0MJKlVJRJQupB8GskVQyeegaaJfMrfP1NmS/MOd+1\nszuzHzqVa67/O3l5tUGHkzI6n0eHijKRgPVgH73ZTQWFQYcikvXmvzmKNasGcNElrwcdimQhFWWS\nkHoQ/CmhirUM5J2yt4MOJeuEtb8pk0Uh57MfPpXJx6xjwqTyoENJCZ3Po0NFmUiAunCQgVSzngFB\nhyIicfv2dmHWb8/kymtfJr/7/qDDkSyiokwSUg+CHyPYRAWF1JKrnAcgzP1NmSoqOX9vyRDmvzGS\ny656NehQOkznluhQUSYSkFzqGMoW1ujG4yKh9Oc/nMiQods5/qQVQYciWUJFmSSkHoT0G8oWttCL\n/XQBlPMgRKG/KdNEKee1tbncf+/ZXHz5Pyge2DvocI6Yzi3RoaJMJABGAyVsYrVuqSQSauXr+vPS\n80dx7w8+A7igw5EMp6JMElIPQnoNZjs1dKOG/EOPKef+RaW/KZNEMefPPX0MPfK7MJzNQYdyRHRu\niQ4VZSLeOUZSyWoGBR2IiCShoaET137jYUazke7sCzocyWAqyiQh9SCkzwB20kAnttHzsMeVc/+i\n1N+UKaKa81XrtrCCYo5mNUZD0OG0i84t0aGiTMSz92fJdEslkShZT3/2k8c4NgQdimQoFWWSkHoQ\n0qM3u+nKQaro+4HnlHP/otjfFHXRzrnxDiUUUc0AdgQdTNJ0bokOFWUiHo1mI6sowmmWTCSSasnl\nbUZyFGvoyoGgw5EMo6JMElIPQur1YjcF7G3xxuPKuX9R7W+KskzIeTUFrGFQvL8s/Mtk6NwSHSrK\nRDwZTSWrKaJB/9uJRN5qBlFPJ8ZQEXQokkH0r4MkpB6E1OrJHnqxh3L6t7iPcu5ftPuboilzcm4s\nZCRD2EohO4MOplU6t0SHijIRD0azkdUM0iyZSAY5SGfeZiSTWUMXDgYdjmQA/QshCakHIXUK2Etv\n9rC+lVkyUM6DkAn9TVGTaTnfTk/K6c8UVhPW2zDp3BIdKspE0mw0G1nDQBrICToUEUmDFQzGiPWN\ninSEijJJSD0IqdGDffSlhvUMaHNf5dy/zOlvio7MzLnxNiMZxmb6sivoYD5A55boUFEmkkaj2Mga\nBlGvWTKRjHaAPN6hhCmsJo/aoMORiFJRJgmpB6HjurOPQnaxLolZMlDOg5Bp/U1RkMk530ovNtKP\nyawhTP1lOrdEh4oykTQZRSVrGahZMpEsspxiOlPHKPWXyRFQUSYJqQehY/LZzwB2Jj1LBsp5EDKz\nvyncMj3njk4sYDTD2Rya9ct0bokOFWUiaTCKStYxgDpygw5FRDzbTx4LGMUUVpPP/qDDkQhRUSYJ\nqQfhyHXjAAOpZg0D2/U65dy/TO5vCqtsyXk1BaygmONYQQ71gcaic0t0qCgTSbFRVLJes2QiWW89\n/ammR6gXlpVwUVEmCakH4ch05QCD2M4aBrX7tcq5f5ne3xRG2ZVzYwnD6UJtoAvL6twSHSrKRFJo\nFFWU059azZKJCNBAJ+YzmqFsZgDVQYcjIaeiTBJSD0L7deEgRWw7olkyUM6DkC39TWGSjTk/QB4L\nGM1RrKU7+7y/v84t0aGiTCRFRlLFBgo5SOegQxGRkNlBD95jCMexklzqgg5HQkpFmSSkHoT26coB\nitnKaoqO+BjKuX/Z1d8UDtmc8w30Zys9Odpz47/OLdGhokwkBcZSwToGaJZMRFq1lKHk0MAYKoIO\nRUJI3ciS0KKy+fp0laQC9tKfncxlcrtfO6N0WhoikmRV7Zqb1TM3Qcj2nMdW/B/FKSyhhnyq6Jv2\n99T5PDpUlIl00Dg2sJLB1B3hPS5nTj0IpP4fq1lleSk7loikzkE68xajOYHl7KULu+gedEgSErp8\nKQnpU1Vy+rGL7uxnPf07fKxsnj0IinLun3Ies4vuLGY4x7GCrhxI63vpfB4dKspEjphjPOUspxin\n/5VEpJ2q6MsaBnECy/WNTAFUlEkLtK5N24rYDkBlinpCsnH9pqAp5/4p54dbyyC20ovjWEknGtLy\nHgFWtHsAABl4SURBVDqfR4eKMpEjYDQwlgqWMRSwoMMRkQhbylAOkstk1qB7ZGY3FWWSkHoQWjeM\nLeyhK9vombJjqtfGP+XcP+U8EWMhI+nKQcazIeVH1/k8OlSUibRTLvWMZiPvMSToUEQkQzTQibcY\nwwB2MJxNQYcjAVFRJgmpB6FlJVSxhV7UkJ/S46rXxj/l3D/lvGW15PIGYxlJJQPjPaupoPN5dKgo\nE2mHLhxkOJtYTnHQoYhIBtpHF95iDJNYRx9qgg5HPFNRJgmpByGxMWxkA4Xsp0vKj61eG/+Uc/+U\n87btojsLGcmxrKQ7+zp8PJ3Po0NFmUiSurOPgVSzisFBhyIiGW4rvXiPIRzPCvKoDToc8URFmSSk\nHoQPGscG1jCI2jTdnUy9Nv4p5/4p58nbQH8q6NfhxWV1Po8O3ftSIi/dN/Wes3QevdlNL/bwNqPS\n+l4iEl7pPte05I6vf5KTj13KBdf+gl279x/RMeYsnZfiqCQdVJRJQlHrQWi8qXeqxW7qHbud0gqK\naUjj5LJ6bfxTzv2Lcs7TdZ6B2LmmpeMveckxechr/PORqdz9ows4sD+v3ceWaEj75Uszm25my8xs\nhZl9PcHzl5vZQjN7x8z+YWaT0x2TSHsMYAedqWcDhUGHIiJZyZj98KlUbOjLl776DHl56jHLVGkt\nyswsB/g5MB2YAFxmZqXNdlsNnO6cmwx8D/hNOmOS5KgHISa/Wx4TWM8SD7dTUq+Nf8q5f8r5kXHO\neHTW6Wzd0pMvfuVZOnfWDcwzUbpnyqYCK51za51ztcBjwMeb7uCcm+ec2xnf/BdomXQJj1tuOI9q\nerCNXkGHIiJZzjnjod+dwc6d+Xzh5mfJVWGWcdJdlBUD5U22N8Qfa8m1wF/TGpEkJWo9ZelQVLyd\nmTOmsZRhXt4vyr02UaWc+6ecd4xznZh131ns29uFz9/4N3Jy6oMOSVIo3Y3+Sd/u3szOAj4LnJK+\ncCQIQX1jqSPMHJ+Z+Qrf//lfOe/bZwUdjojIIQ0Nnbj/3rO57osvcN2Xnuc3vziXhvqcoMOSFEh3\nUVYBDG2yPZTYbNlh4s399wHTnXPViQ50zy3fY0BxEQD5BT0oKR17aDansf9J26nbXrN0ORfOvDQl\nxwM4b/zzhz4hN/aUpGp7VlkeVbvmpvT4Eyavp3PnfH47+x8UT09vvpv22AzqeUbK8tMo1fnOpOM3\nz30qjt/4WLrGe7qPn+7tJZV307f7lEiOl7Ad/7e//BDHf+hHHHPGIha8/G80NHRq8/hh+PclE7cB\nFpfNZ3NFJR1hziU9mdX+g5vlAu8B5wAbgTLgMufc0ib7DAP+DlzhnHu9heM4rbHi16Ky+Sm7hDmj\ndFpgXyU/Et27///27ju86vL84/j7TggjTJEpS6YMFZAtKC5EEVEQxWqLOFCpFn+0Sv2paK3aUuqq\n46LaOmhdiJahgGwBKStsZMsQ2TMJIUBCnt8fOfCL8YQkeM73e8bndV25SM558s2dm+dK7vN8n9zP\nMZ7582hef6kHz4+pFdb+Pnlzk/cXbSiEOi9eXt+r2EOd87zXDpdoz3veF2ihvna05v3nXL9EUjaD\nBk8h40gp3nv7Kpz76a6kUYtKqk+Zx25p1gnnXLH/Oiyse8qcc9nAw8AUYA0w2jm31sweMLMHAsOe\nBs4BRprZMjNbFM6YpGjieU9Z734LSFnYkO3bqnr6dbXXxnvKufeU89DKzirB31/rTvkKmdz36+mU\nKKE9ZtEs7H3KnHOTnXMXOOcaOef+HHjsLefcW4H373POneucax14ax/umEQK0rDxLlpctJ0Jn2sa\nikh0yMoqwZuvXo+Z46EhkyhVSn3MopXOvpSg4rFPWULiSe4YMIcxH13KsWJ2zA4F9W/ynnLuPeU8\nPLKzSvCPN7txYH95hjw+gbLlMv0OSc6CijKRgGu6r+TQwXIsXdzA71BERIrNuQQ+eK8ra7+tzaNP\njuecyul+hyTFpKJMgoq3PWWVz03n2h4r+OTfXQh35/6CaK+N95Rz7ynn4WaM/6wD33zdjEefHE+N\nmkEbGkiE0oHkIkC/X85jxtSL2L9XnftFJPrNmNKSI0dKM+TxCczY7E0DbPn5tFImQcXTnrKWrbdQ\nvcZhpk1q5Wsc2mvjPeXce8q5dxbOu4AP3r2CRwd2owqphX+C+E5FmcS1UqWy6PereXw06jKys9UR\nW0Riy6oV9Xju9Um0ZDM1OOh3OFIIFWUSVLzsKbvh5hQ2rDuPDevOdCSrN7TXxnvKufeUc+99u3EX\ni7iAZnxPPfb4HY6cgYoyiVv1G+6hY+cNfP5x9J3NKSJSHOkks4Bm1GMvzdmGkeN3SBKENvpLUKE8\nZikSlS5znHsenM5Hoy4nPb2M3+EAoT9mSQqnnHtPOffHLc1yX3xWLF+G91/sT5mSSdw55F0OHj4a\nkuvrGKfQUFEmcchxR/+5rFldh+VL6vsdjIhI2OU9V3P8uzncfOsilo9vw8i/XcfOH879Wdcetcj7\nZtuxSrcvJahYXiXr0HkDtesd4LMIu22p1QPvKefeU87951wCYz/tyITP2zPk91/Qqs1mv0OSAK2U\nSVypVv0wfW+fzyt/uZGsE0l+hyMi4pvFCxqzZ3clHhw8hdp1DjBxfFuc86d5tuTSSpkEFYt9yhIT\nT3LvoBlMHN/2Zy/Xh4P6N3lPOfeech5Zvt9aleHP9qHZhT9w/8NTdZi5z1SUSdy46ZZFHD6czNfT\nW/gdiohIxEhLTeaV4b3IyCjF0GFjqVI1ze+Q4paKMgkq1vaUNbtwO+06beJf/7wCv862LIz22nhP\nOfeech6ZsrMT+eDdrsz9ujmPPTWWZi22+x1SXNKeMol55ctnctd9s3jvravJOBIZ7S9ERCKP8fX0\nC9n5wznc/cBMFs9vxPjP23PyZOGnnZxquREO8dRuQ0WZBBUrfcrMHHcNnMn8by5g/Vr/u/afifo3\neU85955yHvk2rKvF88P60v/e2QwdNo53Rl7N3j2Vzvg5eVtuhFK8tdvQ7UuJaVd2W0Vy2eN8Mbat\n36GIiESNjCNlGPm37syb05THnhrHpZevBZzfYcU8FWUSVCysktWpu5/rb1zKu3+/hpwiLL/7TasH\n3lPOvaecRxNjzswWvDy8F1ddu4qBD00jOfm430HFNBVlEpNKlszi3kHT+fTDzuzfV8HvcEREotau\nHZUZ/mwfUg8n8+RzY2h0wU6/Q4pZKsokqOjuU+a4Y8ActmyuxuIFjf0OpsjUv8l7yrn3lPPolJ1V\ngk8/7MLHoy5j4K+n0+uWRSQknvQ7rJijokxizo29U6hR8zAfj7rM71BERGLK6pX1eOHpvtQ9fx+P\nPjGeGjUP+R1STNFfX0pQ0bqnrHPXtbS/dCMj/tibE1F2jJL22nhPOfeech790lKTefPlHlx+1bc8\n+uR4Stbtwc6l2WRnqaT4ubRSJjGjxcXf06vPIl5/sQfp6epHJiISLs4Zs2dcyPPD+tKicU2eem4M\nTZru8DusqKeiTIKKtj1ldertY8DAmbz1evdC++lEKu218Z5y7j3lPLYcPlSO2we/w9jRHRlw/yz6\n3zeLsmWP+R1W1FJRJlGv7nmVeWjIZD58/3I2b6rhdzgiInFnxbL6PPvEbWQeLcnTfxpNh87rUV+z\n4lNRJkFFy56y5LLHGP/2g0yd2IrlSxr4Hc7Por023lPOvaecx67jx0oy5qPOvPnK9Vx97SoeGfol\n1aof9jusqKKiTKJWiaRsBj0yhalz1zJz2sV+hyMiIsD3W6sx/Nk+rF5Rl6HDxnHDzSmULJnld1hR\nQX8qIUFF+tmXZo4BA2eRllqGx0eMo3+78H2tcB60m5fOBPSecu495Tw+5OQkMGNKS5alNKD3bQv4\n44iP+XJsW/47tyk5OcVbDwr3z+BIOvBcRZlEpd63LaDSORm8OqInzoV330K4DtqF+DtsV0Tiy8ED\n5XlnZDfq1d/LLf3mc3X3VYwd04GVy+oBVqRrxNPPYN2+lKAieZXsimtWc3GrbYx89bqY6ouj1QPv\nKefeU87j07Yt1Xh5eC8+H92Rm/ou5HdPTOD8Bnv8DivixM5vNIkLnbqs47qeS/nr8zeTkVHa73BE\nRKTIjNUr6vHtyjp06rKB+x+eypbvqjP+s/ZR28oo1LRSJkFFXp8yR/cbltHz5hReGd6LA/tj75Bx\n9W/ynnLuPeVcnEvgv3Ob8szjt/P9tioMHTaO2381lwoVM/wOzXcqyiTimTluu3Me7TptZMTzvdmz\nW6+oRESiXdaJJKZ8eQnPPN6PkycTeOZPn3LHXXOoWi3V79B8o9uXElSk7CkrUeIkdw2cScVKR3np\nTzeRebSU3yGFjfbaeE85955yLvllHCnDmI86M/mLS7jymtUMHTaWdWtqMWVia1jkd3TeUlEmEat0\n6RM8MHgKxzJL8tqLN8TUpn4REfmxI+ll+GJsO6ZObsllV6zl4d9Ool23B1n1zU42ra9JUf9aM5rp\n9qUE5feesvIVjvLb/53Avj0VefuNbnFRkGmvjfeUc+8p51KY48dKMv2rljz16J2Mm7aCX90zm8ee\nGsdFrbZiFttHN8X+bzqJOlWrpTL4sYnM/6YJk8a3IR5eHYmIyI9lZycy6rP5sH0WrdtuoWfvFHrf\ntpA5M1uw8L+NY3I7i4oyCcqvPWV16u3joSGTmTiuLXO/bu5LDH7RXhvvKefeU86luJxLYOnihixd\n3IAmTXdy2ZVruLHPIpYvqc/cWc3ZurkasfLiXUWZRIymzX/gnkHT+ej9rixfUt/vcEREJKIYG9bV\nYsO6WpQvn0mny9Zx76AZZGYmMXdWcxbPb8yxY5HVob+4tKdMgvJyT1li4kluumUhdz8wg7ffuDZu\nCzLttfGecu495VxCIT29DFMntebpob9g7OiONGuxgxde/oA7755N3fP3+R3eWdNKmQDeHbqdX81a\nB7n7/pkcPlSWF56+lbTUZF/iEBGR6OOcsfbbOqz9tg4VKmZw6WXreeDhKWRmlmLxgkakLGwYVc3G\nVZTJaeE69DXYga9mjquuXcn1Ny5j7JgOzJvdlFjZE3C2tNfGe8q595RzCZe01LJ89eUlTJnYikZN\ndtO2wyZ+/8x/OLCvAikLG7JkUUMOHyrnd5hnpKJMPFf53HQGDJxJQqJj+LN92L8vel7FiIhIZHMu\ngY3rz2Pj+vMY/UEXLmi+g7YdNtGj11J2/FCZlIWNWLa4AenpZfwO9SdUlElQu9Nmh+EVraNTl/X0\n6beAaZNbMm1yS5zTtsZTwpNzORPl3HvKuXgpJyeBtavrsHZ1HT4edZJmF26nXYdN3Nx3IVu3VGPq\nryNrUUBFmXiiXPlM7hwwh6rVU3l1RE92bK/id0giIhJHsrMTWbX8fFYtP5+kkllcdPH37Dt0xO+w\nfkRFmQQVqleyZjncfmNbhj0xhoXzGvPOyGvIzk4MybVjjVYPvKece085l0iQdSKJpSkNyc7O8TuU\nH1FRFgVmT/iK8W9/hgvT6RIJJUJ/YTPHJe2+o2fvFLbu7sLbb3Tju401Q/51REREYoWKsiiQeuAg\niWkX0qzqI2G5/vTvuv/ksbPd92HmaN1mMzf0TuH4sSQ+/bAzj7/bn7vajwhFqDFNe228p5x7TzkX\nKZiKsihRpmR1qpRrG5ZrJySEYho4Wl6ylRt7p3DyZAJjR3dk9cq6xHubCxERkaJSUSZBFf2VrOOi\nlt/Ts89izBwT/tOOlcvqoWKs+LR64D3l3HvKuUjBVJTJWUkue4xL2m2mS9e1lEg6yZdj27Fi6fk4\np2JMRETkbKgok6CC7fsokZTNxS230f7SjVzQbCdrVtdm0oQ2rFpeT8VYCGivjfeUc+8p5yIFU1Em\nZ2SWQ5Omu2jfaSOt2mxh+7YqLJzfmPf/cSXHMkv5HZ6IiEjMUFEmP5GQeJJOrZvSuu182nfaSFpq\nMovmN+aLsW0j/tywaKbVA+8p595TzkUKpqJMKFM6ifYXN+aGm1Jo1GQX9RvsZf++CqxaXpe/jejJ\nrp2V/Q5RREQk5oW1KDOz64BXgUTgn865vwQZ8xpwPXAUGOCcWxbOmCR3k36jJrtp1GQXjZrs4qVa\nQ1m1bgepO7OZMeViNm+swebdC6hRoYPfocYV7bXxnnLuPeVcpGBhK8rMLBF4A7gG2AEsNrMJzrm1\necb0ABo55xqbWQdgJNAxXDHFEzNH5XPTqV4jleo1D1O9RuCtZirJycfZ8l01Nq4/j3FjOvDSF4M5\neGgvd7X//5r5YMYK/eD0mHLuPeXce8q5SMHCuVLWHtjknNsKYGafADcBa/OM6QWMAnDOLTSzSmZW\n3Tm3J4xxxQBHcvIJKlQ8SoWKRylfIZMKFTOpWOkoVavlFmHVqqWRkVGKPbsqsWd3RfbsrsSqFfXY\ns6sSB/aXw7mE01fLPJb1k69w4uRhL78hQTn3g3LuPeVcpGDhLMpqAdvzfPwDkP9+WLAxtQEVZXlc\nVLssdz5fkTrVPj9dhGWdKEFaWhnS05JJSy1DWmoyaWllWJbSgD27K7J3dyWOH0/yO3QREREponAW\nZUU95Tp/g6swHbsdvfamn+AfX03jWGYVDhw6wf6DxzmRFbqT7U+cOPKTx44c3xay60vRKOfeU869\np5yLFMycC08NZGYdgT84564LfPy/QE7ezf5m9nfga+fcJ4GP1wFd89++NDMVaiIiIhI13Fl0VQ/n\nSlkK0NjMzgd2Av2AX+QbMwF4GPgkUMQdDraf7Gy+MREREZFoEraizDmXbWYPA1PIbYnxjnNurZk9\nEHj+LefcJDPrYWabgAzg7nDFIyIiIhLJwnb7UkRERESKLqHwId4xs+vMbJ2ZbTSz3wd5/gozSzWz\nZYG3p/yIM1aY2btmtsfMVp1hzGuB/48VZtbay/hiUWE51xwPPTOrY2azzOxbM1ttZoMLGKe5HiJF\nybnmemiZWWkzW2hmy81sjZn9uYBxmuchUpScF3eeR8wxS0VpNhsw2znXy/MAY9N7wOvAv4I9qea+\nYXHGnAdojodWFjDEObfczMoBS8xsmhpZh1WhOQ/QXA8R59wxM7vSOXfUzEoA35hZF+fcN6fGaJ6H\nVlFyHlDkeR5JK2Wnm80657KAU81m89Om/xBxzs0FDp1hyI+a+wKVzKy6F7HFqiLkHDTHQ8o5t9s5\ntzzw/hFyG1ifl2+Y5noIFTHnoLkeUs65o4F3S5K7l/tgviGa5yFWhJxDMeZ5JBVlwRrJ1so3xgGX\nBpZdJ5lZc8+ii08FNfeV8NEcD6PAX4O3Bhbme0pzPUzOkHPN9RAzswQzW05uA/ZZzrk1+YZonodY\nEXJerHkeMbcvKVrT2KVAncBS4fXAOKBJeMOKe2ru6y3N8TAJ3Eb7DHgksHrzkyH5PtZc/5kKybnm\neog553KAVmZWEZhiZlc4577ON0zzPISKkPNizfNIWinbAdTJ83Edcqv405xz6aeWCp1zk4EkM6vs\nXYhxJ///Se3AYxImmuPhYWZJwOfAB865cUGGaK6HWGE511wPH+dcKjARaJvvKc3zMCko58Wd55FU\nlJ1uNmtmJcltNjsh7wAzq25mFni/PbktPYLdv5XQmAD0h9MnNARt7iuhozkeeoF8vgOscc69WsAw\nzfUQKkrONddDy8yqmFmlwPtlgG7AsnzDNM9DqCg5L+48j5jbl0VpNgv0BQaZWTZwFLjdt4BjgJl9\nDHQFqpjZduAZIAnU3DdcCss5muPh0Bn4JbDSzE79wHwCqAua62FSaM7RXA+1msAoM0sgd8Hl3865\nGaaG7eFUaM4p5jxX81gRERGRCBBJty9FRERE4paKMhEREZEIoKJMREREJAKoKBMRERGJACrKRERE\nRCKAijIRERGRCKCiTESigpk9aWarA2fILTOz9mb2SKBpY2Gf+z95x5nZRDOrEKrxIiKhoD5lIhLx\nzKwT8BLQ1TmXFTimpDQwD2jrnDtQyOdvKcq4sx0vIhIKWikTkWhQA9jvnMsCCBxT0hc4D5hlZjMA\nzGykmS0OrKj9IfDY4CDjtppZZTMrG1gFW25mq8zsNjP7TUHjA+/3D6zWLTezUYHHbg18/nIzm+1h\nXkQkhmilTEQinpmVBb4BkoHpwGjn3JzAilabU2fJmdk5zrlDZpYYGPcb59zqIOO2AG2AK4Huzrn7\nA4+Xd86ln2F8TeA/QCfn3EEzq+ScO2xmKwPX2WVmFZxzaZ4lR0RihlbKRCTiOecyyC2K7gf2AaPN\nbEDgacsztJ+ZLQGWAi2A5oVceiXQzcyGm1kX51z6GcYacBXw6alizTl3OPDcPHLPwLuPCDpTWESi\ni354iEhUcM7lALOB2Wa2Chhw6ikAM6sP/I7cvWCpZvYeufvOznTNjWbWGrgBeN7MZjjnnjvTp/Dj\nIvDUdQaZWfvAdZaY2elVNhGRotJKmYhEPDNrYmaN8zzUGtgKpAOn/iqyApABpJlZdeD6POPzjst7\n3ZrAMefch8CLgesWNN4BM4Fb8+wvOyfwb0Pn3CLn3DPkruTVPstvVUTimFbKRCQalANeN7NKQDaw\nkdxbmXcAX5nZDufc1Wa2DFgHbCd3D9opb+cdl+fxi4C/mlkOkAU8eKbxzrk1ZvYCuat1J8m9TXoP\nMCJQNBow3Tm3MuQZEJGYp43+IiIiIhFAty9FREREIoCKMhEREZEIoKJMREREJAKoKBMRERGJACrK\nRERERCKAijIRERGRCKCiTERERCQCqCgTERERiQD/B3l69xrP9JkYAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112bf8090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmkAAAHBCAYAAAAy1izMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQirSRERERJLQ/wGcnP1fa+8ANQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1125fd710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAoYAAAHBCAYAAAD0P3owAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1139d2150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAn0AAAHBCAYAAAAckw1eAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl8FfW9//HXJwuBsAVIQgDZQRZXxAW1bqCUoiyKWq3i\n0kWq0qptb6tdrvbe3rbW6vWnvW2ptbXaurUoKIIbKFi1IuCCCCiyyhpIWEMgy/f3R05ojCE5Z77n\n5MzJeT8fjzySmTMz53PejPGTme/MmHMOEREREWnZMpJdgIiIiIgknpo+ERERkTSgpk9EREQkDajp\nExEREUkDavpERERE0oCaPhEREZE0oKZPRCQkzOwhM/vvyM9nm9mGZNckIi2Hmj4RaZHMrNrM+tWb\nd4eZPZKsmqLgIl8iInGnpk9E0kncGyozy4z3JuO8PRERQE2fiKSXQw2VmeWb2SwzKzWzHWa2wMws\n8lp3M5tuZtvMbLWZfavOeneY2T/M7BEz2wVc/bk3MWtjZneb2Voz22lmr5lZTuS1v5vZ5sj8+WY2\nNKrCzX5gZp+a2W4zW2FmI73TEJG0oqZPRNLVd4ENQD5QCNzmnHNmlgE8C7wDdAdGATeb2eg6644H\n/u6c6wg82sC2fw0MA04FOgP/wb+PMj4HDAAKgCXA35oq1MwGATcCJzrnOgCjgbWxfFgRETV9IpKu\nDgLdgD7OuSrn3OuR+ScB+c65nznnKp1za4A/ApfVWfcN59wzAM658robjTSN1wI3Oec2O+eqnXP/\ncs4djCz/kHNun3OuAvgpcJyZtW+i1iogBzjKzLKdc+udc6v9Pr6IpBs1fSLSUlUB2fXmZQMVkZ/v\nAlYBL5rZJ2b2g8j83kD3yGnfUjMrBW6j5mhgrU8bed98oDXwSf0XzCzDzH5pZqsip4bX1FnnsJxz\nq4CbgTuArWb2mJl1a2wdEZH61PSJSEu1Huhbb15fIqdFnXN7nXPfc871p+Z07Xci4+TWA2ucc53q\nfHVwzl0Q2UZTV9huB8qpOYVb3xWR9xoVOTVcW1/dizca3LZz7jHn3BnUNKUOuLORGkREPkdNn4i0\nVE8APzazHpEjbOcCFwD/ADCz881sQOTijd3UHBmsAhYCe8zs+5ELMjLN7GgzOzGy3UavrnXOVQN/\nAu4xs26R9U81s1ZAO+AAUGJmbYGf11vdGtq+mR1pZiMjF4McoKaprAoSioikLzV9ItJS/RfwBvBP\noAT4JfAV59yHkdcHAi8BeyLL/Z9zbn6kabsAOB5YDRQDfwA6RNaL5l563wOWAm8DO4BfUNPMPQys\nAzYCHwBv1ttW/W3X/pwT2UYxsJma08G3RZGBiMgh5lzi7gNqZmOAe4FM4I/Ouc+djjCz+4AvAWXA\nNc65dxpb18wuoWZcy2DgJOfcknrb6wV8CNzunLs7QR9NREREJKUk7Ehf5IalvwHGAEOBy81sSL1l\nxgIDnHMDgeuA30Wx7lLgQmDBYd76HmpuiSAiIiIiEVkJ3PbJwCrn3FoAM3scmAAsr7PMeOAvAM65\nt8wsz8yKqBnc3OC6zrkVkXmfe0Mzm0jN6Zh9iflIIiIiIqkpkWP6elBz49Nan0bmRbNM9yjW/Qwz\nawd8n5pTvyIiIiJSRyKbvmgHC8brOZN3AP/rnCuL4zZFREREWoREnt7dCPSsM92Tz9/QtP4yR0SW\nyY5i3fpOBiaZ2a+APKDazPY7535bdyEzS9yVKyIiIiJx5pyLy8GsRDZ9i4CBZtYH2AR8Gbi83jLP\nAFOBx81sBLDTObfVzHZEsS7UOaLnnDvz0Eyz24E99Ru+WtMXPxLsEwlPTHuKL0+5KNllpCzlF5yy\n86P8/Ci/4JSdn0nDJ8dtWwlr+pxzlWY2FXiBmtuuPOicW25mUyKvT3POzTazsWa2ipqLL65tbF0A\nM7sQuI+a+1Q9Z2bvOOe+lKjPIZ+1bVNxsktIacovOGXnR/n5UX7BKbvwSOSRPpxzc4A59eZNqzc9\nNdp1I/OfBp5u4n1/GnOxIiIiIi2YnsghMTln3JlNLySHpfyCU3Z+lJ8f5RecsguPhD6RI4zMzGlM\nn4iIiKSCScMnp8SFHNICfbBoOUefOKTpBaVByi84ZedH+fmJJb94DryX9JLog1Jq+kREROIs3c6i\nib+GnjQWbxrTJzHRkQI/yi84ZedH+flRftISqOkTERERSQNq+iQmHyxanuwSUpryC07Z+VF+fpSf\ntARq+kRERMTbNddcw09+8hMAXnvtNQYPHtws75uRkcHq1avjvt0+ffowd+7cuG83mdT0SUw0rsWP\n8gtO2flRfn5aSn59+vQhNzeX9u3bU1RUxLXXXsu+ffvism0zO3QxwhlnnMGKFSuaXOehhx7ijDPO\niMv71/fNb36Tq6+++nPz33vvPVq3bs3OnTsbXb/u52kp1PSJiIikCTNj1qxZ7NmzhyVLlrBo0SJ+\n9rOffW65ysrKQNsP01XL11xzDU899RRlZWWfmf/II48wbtw48vLyklRZ8qjpk5hoXIsf5RecsvOj\n/Py0xPy6d+/OmDFjWLZsGVBzmvS3v/0tAwcOZNCgQQDMmjWL448/nk6dOnH66aezdOnSQ+u/8847\nnHDCCXTo0IHLLruM8vLyQ6+9+uqr9OzZ89D0hg0buOiiiygsLCQ/P59vfetbrFixgm9+85u8+eab\ntG/fns6dOwNw4MABvve979G7d2+Kioq4/vrrP7Ptu+66i+7du3PEEUfwpz/96bCfb8SIEfTo0YPp\n06cfmldVVcVjjz3GVVddxerVqxk5ciT5+fkUFBRw5ZVXsmvXrga3VffUdUOfb9OmTUyaNInCwkL6\n9evH/ffff+i1hQsXcuKJJ9KxY0eKior47ne/e9iaE01Nn4iISBqpPRq3YcMG5syZw7Bhww69NnPm\nTN5++20+/PBD3nnnHb72ta/xwAMPUFJSwpQpUxg/fjwVFRUcPHiQiRMncvXVV1NaWsoll1zC9OnT\nGzwdWlVVxQUXXEDfvn1Zt24dGzdu5PLLL2fw4MFMmzaNU089lT179lBSUgLArbfeyqpVq3jvvfdY\ntWoVGzdu5L/+678AeP7557n77rt5+eWX+eijj3j55Zcb/axXXXUVDz/88KHpl19+mYqKCsaOHYtz\njh/96Eds3ryZ5cuXs2HDBu64444Gt9PYqd7q6mrGjRvHsGHD2LRpE3PnzuXee+/lxRdfBOCmm27i\nlltuYdeuXaxevZpLL7200ZoTSU2fxKSljGtJFuUXnLLzo/z8tJT8nHNMnDiRTp06ccYZZ3D22Wfz\nwx/+8NDrt912G3l5eeTk5PCHP/yBKVOmcNJJJ2FmXHXVVeTk5PDmm2/yr3/9i8rKSm666SYyMzOZ\nNGkSJ510UoPvuXDhQjZv3sxdd91FmzZtyMnJ4bTTTjtUT/36HnjgAe655x7y8vJo164dt912G48/\n/jgATz75JF/96lcZOnQoubm5/PSnP23081555ZXMnz+fTZs2AfDwww9zxRVXkJmZSf/+/Rk1ahTZ\n2dnk5+dzyy23MH/+/Eaza8jbb7/N9u3b+fGPf0xWVhZ9+/bl61//+qGaW7Vqxccff8z27dvJzc3l\nlFNOabTmRNITOURERJrRyTuOict2FnZZ2vRC9ZgZM2fOZOTIkQ2+XveU5bp163j44Yc/c6qyoqKC\nzZs345yjR48en1m3d+/eDW5zw4YN9O7dm4yMpo8zFRcXU1ZWxvDhww/Nc85RXV0NwObNmz/TXPbq\n1avR7fXq1YszzzyTRx55hBtvvJGZM2fy2muvAbB161Zuuukm/vnPf7Jnzx6qq6sPnWKOxbp169i0\naROdOnU6NK+qqoozzzwTgAcffJD//M//ZMiQIfTt25fbb7+d888/P+b3iQc1fRITPb/Tj/ILTtn5\nUX5+4plfkGatudQ9hdmrVy9+9KMffeZIYK358+ezcePGz8xbt24dAwYM+NyyPXv2ZP369VRVVZGZ\nmXnY9wPIz8+nTZs2fPjhh3Tr1u1z2+rWrRvr168/NF3358O5+uqrufPOOykqKqJv376HTmf/8Ic/\nJDMzkw8++IC8vDxmzJjBt771rQa30bZt289cELJly5bPfL6+ffvy0UcfNbjugAEDePTRRwGYPn06\nF198MSUlJbRp06bJ2uNNp3dFRETkc77xjW/w+9//noULF+KcY9++fTz33HPs3buX0047jaysLO67\n7z4qKip46qmnePvttxvczsknn0y3bt249dZbKSsro7y8nDfeeAOArl278umnn1JRUQHUXEzyjW98\ng5tvvpni4mIANm7ceGh83KWXXspDDz3E8uXLKSsra/L0LsCkSZNYv349d9xxB9dcc82h+Xv37qVt\n27Z06NCBjRs3ctdddx12G8cffzyzZ8+mtLSULVu2cO+9937m87Vv355f/epX7N+/n6qqKj744AMW\nLVoEwF//+tdDn6Vjx46YWVRHPRNBTZ/EREcK/Ci/4JSdH+XnJx3yq3/Ubfjw4TzwwANMnTqVzp07\nM3DgwEMXRWRnZ/PUU0/x0EMP0aVLF5588kkmTZrU4PYyMzN59tlnWbVqFb169aJnz548+eSTAIwa\nNYqjjjqKoqIiCgsLAbjzzjsZMGAAI0aMoGPHjpx33nmHjqKNGTOGm2++mZEjR3LkkUcyatSoJu+l\nl5uby6RJk9i4cSNXXHHFofm33347S5YsoWPHjowbN45JkyYddluTJ0/muOOOo0+fPowZM4bLLrvs\nM59v1qxZvPvuu/Tr14+CggKuu+46du/eDcALL7zA0UcfTfv27bnlllt4/PHHycnJafofJAEsTPfU\naQ5m5qYvfiTZZYiISAs1afjkUN2vTlKDmdFQfxLZn+Jyl2gd6ZOYtMR7VTUn5RecsvOj/PwoP2kJ\n1PSJiIiIpAE1fRKTdBjXkkjKLzhl50f5+VF+0hKo6RMRERFJA2r6JCYa1+JH+QWn7PwoPz/KT1oC\nNX0iIiIiaUBNn8RE41r8KL/glJ0f5edH+UlLoMewiYiIxFlTNwwWSQY1fRITPb/Tj/ILTtn5UX5+\nYsnP5wEAk4ZPZtq8sqYXjNGUkbledfnQvhceOr0rIiIikgbU9ElM9NeaH+UXnLLzo/z8KL/glF14\nqOkTERERSQNq+iQmuleVH+UXnLLzo/z8KL/glF14qOkTERERSQNq+iQmGpvhR/kFp+z8KD8/yi84\nZRceavpERERE0oCaPomJxmb4UX7BKTs/ys+P8gtO2YWHmj4RERGRNKCmT2KisRl+lF9wys6P8vOj\n/IJTduGhpk9EREQkDajpk5hobIYf5RecsvOj/Pwov+CUXXio6RMRERFJA2r6JCYam+FH+QWn7Pwo\nPz/KLzhlFx5q+kRERETSgJo+iYnGZvhRfsEpOz/Kz4/yC07ZhYeaPhEREZE0oKZPYqKxGX6UX3DK\nzo/y86P8glN24aGmT0RERCQNqOmTmGhshh/lF5yy86P8/Ci/4JRdeCS86TOzMWa2wsw+NrMfHGaZ\n+yKvv2dmw5pa18wuMbNlZlZlZsPrzD/PzBaZ2fuR7+ck9tOJiIiIpIaENn1mlgn8BhgDDAUuN7Mh\n9ZYZCwxwzg0ErgN+F8W6S4ELgQWAq7O5YuAC59yxwNXAIwn6aGlLYzP8KL/glJ0f5edH+QWn7MIj\nK8HbPxlY5ZxbC2BmjwMTgLrHescDfwFwzr1lZnlmVgT0Pdy6zrkVkXmfeTPn3Lt1Jj8E2phZtnOu\nIv4fTURERCR1JPr0bg9gQ53pTyPzolmmexTrNmYSsFgNX3xpbIYf5RecsvOj/Pwov+CUXXgk+kif\na3oRAKzpRaJnZkcBvwTOi+d2RURERFJVopu+jUDPOtM9qTli19gyR0SWyY5i3c8xsyOAp4DJzrk1\nDS1z/+3TKOxeAEBuu1z6Dup9aMxB7V8kmm54unZeWOpJtWnlF3z66BOHhKqeVJtWfqmTX62V7y4A\nYNDxZ8ZlOkx5arrxf/9li5ezbVMx8WbORXswLsDGzbKAlcAoYBOwELjcObe8zjJjganOubFmNgK4\n1zk3Isp1XwG+55xbHJnOA+YDtzvnZhymJjd9sa7vEBGR8Jk0fDLT5pXFfbtTRuai//elpknDJ+Oc\ni8sZ0YSO6XPOVQJTgReoubDiCefccjObYmZTIsvMBlab2SpgGnBDY+sCmNmFZrYBGAE8Z2ZzIm85\nFegP3G5m70S+8hP5GdNN/b9EJTbKLzhl50f5+VF+wSm78Ej06V2cc3OAOfXmTas3PTXadSPznwae\nbmD+z4Cf+dQrIiIi0hLpiRwSk7pj0yR2yi84ZedH+flRfsEpu/BQ0yciIiKSBtT0SUw0NsOP8gtO\n2flRfn6UX3DKLjzU9ImIiIikATV9EhONzfCj/IJTdn6Unx/lF5yyCw81fSIiIiJpQE2fxERjM/wo\nv+CUnR/l50f5BafswkNNn4iIiEgaUNMnMdHYDD/KLzhl50f5+VF+wSm78FDTJyIiIpIG1PRJTDQ2\nw4/yC07Z+VF+fpRfcMouPNT0iYiIiKQBNX0SE43N8KP8glN2fpSfH+UXnLILDzV9IiIiImlATZ/E\nRGMz/Ci/4JSdH+XnR/kFp+zCQ02fiIiISBpQ0ycx0dgMP8ovOGXnR/n5UX7BKbvwUNMnIiIikgbU\n9ElMNDbDj/ILTtn5UX5+lF9wyi481PSJiIiIpAE1fRITjc3wo/yCU3Z+lJ8f5RecsgsPNX0iIiIi\naUBNn8REYzP8KL/glJ0f5edH+QWn7MJDTZ+IiIhIGlDTJzHR2Aw/yi84ZedH+flRfsEpu/BQ0yci\nIiKSBtT0SUw0NsOP8gtO2flRfn6UX3DKLjzU9ImIiIikATV9EhONzfCj/IJTdn6Unx/lF5yyCw81\nfSIiIiJpQE2fxERjM/wov+CUnR/l50f5BafswkNNn4iIiEgaUNMnMdHYDD/KLzhl50f5+VF+wSm7\n8FDTJyIiIpIG1PRJTDQ2w4/yC07Z+VF+fpRfcMouPNT0iYiIiKQBNX0SE43N8KP8glN2fpSfH+UX\nnLILDzV9IiIiImlATZ/ERGMz/Ci/4JSdH+XnR/kFp+zCQ02fiIiISBpQ0ycx0dgMP8ovOGXnR/n5\nUX7BKbvwUNMnIiIikgaykl2ApJYPFi3XX20elF9wLSW7ScMnJ3T70xc/0uD8lpJfsii/4JRdeKjp\nExFpZtPmlSVku1NG5iZkuyLSMuj0rsREf635UX7BKTs/ys+P8gtO2YWHmj4RERGRNKCmT2Ki+y35\nUX7BKTs/ys+P8gtO2YVHQps+MxtjZivM7GMz+8Fhlrkv8vp7ZjasqXXN7BIzW2ZmVWZ2Qr1t3RZZ\nfoWZjU7cJxMRERFJLQlr+swsE/gNMAYYClxuZkPqLTMWGOCcGwhcB/wuinWXAhcCC+ptayjw5cjy\nY4DfmpmOZMaZxmb4UX7BKTs/ys+P8gtO2YVHIpuik4FVzrm1zrkK4HFgQr1lxgN/AXDOvQXkmVlR\nY+s651Y45z5q4P0mAI855yqcc2uBVZHtiIiIiKS9RDZ9PYANdaY/jcyLZpnuUaxbX/fIcrGsIzHS\n2Aw/yi84ZedH+flRfsEpu/BIZNPnolzOQlCDiIiISIuWyJszbwR61pnuyWePxDW0zBGRZbKjWLep\n9zsiMu9z7r99GoXdCwDIbZdL30G9D405qP2LRNMNT9fOC0s9qTat/IJPH33ikFDV4zNda+W7NUOT\nBx1/Zlyma9+jpefX0ve/WvHeP8KUp6Yb//dftng52zYVE2/mXGIOhplZFrASGAVsAhYClzvnltdZ\nZiww1Tk31sxGAPc650ZEue4rwPecc4sj00OBR6kZx9cDeJmai0Q+8wHNzB3uMUUiIok2afjkhD6R\nQ7/fUlui9g/tG6lr0vDJOOficlY0Yad3nXOVwFTgBeBD4Ann3HIzm2JmUyLLzAZWm9kqYBpwQ2Pr\nApjZhWa2ARgBPGdmcyLrfAg8GVl+DnBD/YZP/Glshh/lF5yy86P8/Ci/4JRdeCT02bvOuTnUNGB1\n502rNz012nUj858Gnj7MOj8Hfh60XhEREZGWSvexk5jUHZsmsVN+wSk7P8rPj/ILTtmFh5o+ERER\nkTSgpk9iorEZfpRfcMrOj/Lzo/yCU3bhoaZPREREJA2o6ZOYaGyGH+UXnLLzo/z8KL/glF14qOkT\nERERSQNq+iQmGpvhR/kFp+z8KD8/yi84ZRceavpERERE0oCaPomJxmb4UX7BKTs/ys+P8gtO2YWH\nmj4RERGRNKCmT2KisRl+lF9wys6P8vOj/IJTduGhpk9EREQkDajpk5hobIYf5RecsvOj/Pwov+CU\nXXio6RMRERFJA2r6JCYam+FH+QWn7PwoPz/KLzhlFx5q+kRERETSgJo+iYnGZvhRfsEpOz/Kz4/y\nC07ZhYeaPhEREZE0oKZPYqKxGX6UX3DKzo/y86P8glN24aGmT0RERCQNqOmTmGhshh/lF5yy86P8\n/Ci/4JRdeKjpExEREUkDavokJhqb4Uf5Bafs/Cg/P8ovOGUXHmr6RERERNJAVrILkNSisRl+lF9w\nzZ3dpOGTm/X9Ek37nh/lF5yyCw81fSIihzFtXlnctzllZG7ctykiEg2d3pWYaGyGH+UXnLLzo/z8\nKL/glF14qOkTERERSQNq+iQmGpvhR/kFp+z8KD8/yi84ZRceavpERERE0oCaPomJxmb4UX7BKTs/\nys+P8gtO2YWHmj4RERGRNKBbtkhMNDbDj/ILTtn5UX5+6ubX0u7hmGja98KjyabPzO4BHnTOLWuG\nekREREIvEfdwBN3HURIrmtO7y4E/mNlCM/ummXVMdFESXhqb4Uf5Bafs/Cg/P8ovOGUXHk02fc65\nB5xzpwNXAX2ApWb2qJmdk+jiRERERCQ+orqQw8wygcHAEKAYeA/4jpk9kcDaJIQ0NsOP8gtO2flR\nfn6UX3DKLjyiGdP3v8A4YB7wP865hZGX7jSzlYksTkRERETiI5ojfe8DxznnrqvT8NU6JQE1SYhp\nbIYf5RecsvOj/Pwov+CUXXhE0/RNds7tqzvDzOYCOOd2JqQqEREREYmrw57eNbM2QC6Qb2ad67zU\nAeiR6MIknDQ2w4/yC07Z+VF+fpRfcMouPBob0zcFuAnoDiyuM38P8JtEFiUiIiIi8XXY07vOuXud\nc32B7znn+tb5OtY5p6YvTWlshh/lF5yy86P8/Ci/4JRdeDR2enekc24esMnMLqr/unPuqYRWJiIi\nIiJx09jp3bOouU3LOMA18LqavjSksRl+lF9wys6P8vOj/IJTduFx2KbPOXd75Ps1zVaNiIiIiCRE\nk7dsMbObzKyD1XjQzJaY2RebozgJH43N8KP8glN2fpSfH+UXnLILj2ju0/c159xuYDTQmZpn8P4y\nmo2b2RgzW2FmH5vZDw6zzH2R198zs2FNrWtmnc3sJTP7yMxeNLO8yPzWZvaYmb1vZh+a2a3R1Cgi\nIiKSDqJp+izy/XzgEefcB9FsOPK83t8AY4ChwOVmNqTeMmOBAc65gcB1wO+iWPdW4CXn3JHA3Mg0\nwGUAzrljgeHAFDPrFU2tEj2NzfCj/IJTdn6Unx/lF5yyC49omr7FZvYiMBZ4wcw6ANVRrHcysMo5\nt9Y5VwE8Dkyot8x44C8Azrm3gDwzK2pi3UPrRL5PjPy8GWgbaRjbAgeB3VHUKSIiItLiRXV6F7gN\nODHyOLZs4Noo1usBbKgz/Smff5LH4Zbp3si6XZ1zWyM/bwW6AjjnXqCmydsMrAXu0mPi4k9jM/wo\nv+CUnR/l50f5BafswqOxW7YA4JyrMrOtwFAzy6LmdG9Dt3D53KpR1mBNL9LwezrnnJk5ADO7EmgD\ndKNm7OFrZjbXObcmyjpEREREWqwmmz4zuxP4MvAhUFXnpQVNrLoR6Flnuic1R+waW+aIyDLZDczf\nGPl5q5kVOee2mFk3YFtk/mnA0865KqDYzF4HTgQ+1/Tdf/s0CrsXAJDbLpe+g3ofGnNQ+xeJphue\nrp0XlnpSbVr5BZ8++sQhzf7+K9+t+TU36Pgz4zpdK97br/0MYcmvJU3Xza9Wqu0fYcpT04efBli2\neDnbNhUTb+Zc4wfkzOwj4Bjn3IGYNlxzVHAlMArYBCwELnfOLa+zzFhgqnNurJmNAO51zo1obF0z\n+xWwwzl3Z+QK3Tzn3K1m9m3geOfcV82sbWSdL9e/8MTM3PTFj8TyUUQkDU0aPplp88rivt0pI3MT\nst3abev3W+Ilat+AxO0f2jdS16Thk3HORXNWtEnRjOn7BGgV64adc5XAVOAFao4SPhFp2qaY2ZTI\nMrOB1Wa2CpgG3NDYupFN/xI4L9KMjuTft4+ZBrQys6XUNHx/ivZKY4mexmb4UX7BKTs/ys+P8gtO\n2YVHk6d3gf3Au2Y2F6g92uecc99uakXn3BxgTr150+pNT4123cj8EuDcBuYfAK5sqiYRERGRdBRN\n0/dM5Kv2PHC0F3JIC6T7LflRfsEpOz/Kz4/yC07ZhUc0V+8+ZGa5QC/n3IpmqElERERE4iyaZ++O\nB94Bno9MDzOzZxJdmISTxmb4UX7BKTs/ys+P8gtO2YVHNBdy3AGcApQCOOfeAfolsCYRERERibNo\nmr6KBp5sEc1j2KQF0tgMP8ovOGXnR/n5UX7BKbvwiOZCjmVmdgWQZWYDgW8DbyS2LBERERGJp2iO\n9H0LOIqa27U8Rs3zbW9OZFESXhqb4Uf5Bafs/Cg/P8ovOGUXHtFcvbsP+GHkS0RERERSUKNH+szs\nGjNbYmZlka9FZnZ1cxUn4aOxGX6UX3DKzo/y86P8glN24XHYI32R5u4m4DvU3LLFgGHAXWbmnHMP\nN0+JIiIiIuKrsSN9NwAXOedecc7tdM6VOufmAZOAG5unPAkbjc3wo/yCU3Z+lJ8f5RecsguPxpq+\n9s65NfVnOufWAu0TVpGIiIiIxF1jTV95wNekBdPYDD/KLzhl50f5+VF+wSm78Gjs6t0hZrb0MK/1\nT0QxIiIiIpIYjR3pGwKMO8zX0MSXJmGksRl+lF9wys6P8vOj/IJTduFx2CN9kbF7IiIiItICRPNE\nDpFDNDbOSGneAAAgAElEQVTDj/ILTtn5UX5+lF9wyi481PSJiIiIpIEmmz4zG29mag4F0NgMX8ov\nOGXnR/n5UX7BKbvwiKaZ+zKwysx+ZWaDE12QiIiIiMRfk02fc+4Kah6/thp4yMzeNLPrzEw3aE5D\nGpvhR/kFp+z8KD8/yi84ZRceUZ22dc7tAv4BPAF0By4E3jGzbyewNhERERGJk2jG9E0ws6eBV4Fs\n4CTn3JeAY4HvJLY8CRuNzfCj/IJTdn6Unx/lF5yyC4/GnshR6yLgf51zC+rOdM6VmdnXE1OWiIiI\niMRTNKd3t9Zv+MzsTgDn3MsJqUpCS2Mz/Ci/4JSdH+XnR/kFp+zCI5qm77wG5o2NdyEiIiIikjiH\nbfrM7HozWwoMMrOldb7WAu83W4USKhqb4Uf5Bafs/Cg/P8ovOGUXHo2N6XsUmAP8EvgBYJH5e5xz\nOxJdmIiIiIjET2NNn3POrTWzGwFX9wUz6+ycK0lsaRJGGpvhR/kFp+z8KD8/yi84ZRcejTV9jwHn\nA4up1/RF9E1IRSIiIiISd4cd0+ecOz/yvY9zrm/9r+YrUcJEYzP8KL/glJ0f5edH+QWn7MLjsEf6\nzOyExlZ0zi2JfzkiIiIikgiNnd69h4ZP69Y6J861SArQ2Aw/yi84ZedH+flRfsEpu/A4bNPnnDu7\nGesQERERkQRq7D59IyPfJ5nZRfW/mq9ECRONzfCj/IJTdn6Unx/lF5yyC4/GTu+eBcwDxtHwad6n\nElKRiIiIiMRdY6d3b498v6bZqpHQ09gMP8ovOGXnR/n5UX7BKbvwaPLZu2aWb2b3m9k7ZrbEzP6f\nmXVpjuJEREREJD4aO71b63FgPnARNY9i+wrwBHBuAuuSkPpg0XL91eZB+QWn7BpXaQdoPaAVn7T+\nhJ3ZO9mZtYudWTvZl7mPLJdFyeu7OGJEN7JdNtnV2bRy2Yd+znE5FBwsoPBgIVlR/W8h/Wj/C07Z\nhUc0/3UXOef+u870z8zsy4kqSEREGrcvq5j1HRawLXcpu3M2sqfVJg5k7mLg33qzqMNi8io7kleZ\nR48DPWhX1ZZKq2LF/o/pVdadiowKKizylVHB/qxyDmQUs7j9EkqySuhS0YXuB7tRdKAb3Q52I7+i\nCxlNnxQSkRQQTdP3opldTs3RPYBLgBcTV5KEmf5a86P8gkvn7ByOnTlrWNdhAes6zmd3qw0csedU\nuu89kSNLx9P+YA9yK/K5fmR77lj8nw1uo88xvaGs8fepsAq2ZW9jU85m1rdex1sd32Jv5l4KDxbS\n/UA3+u/vT68DvTAsAZ8y3NJ5//Ol7MKjsSdy7OXfV+3eDDwS+TkD2Ad8N7GliYikr2qq2Jb7Aes6\nzGddx/lU2QF67z6LE7dcT7e9J5CRgNOw2S6bHgd70ONgj0Pzyq2cLTlb2Jizibmd57E/Yz9H7RvK\nUfuOoqCiIO41iEjiNHb1brvmLERSg8Zm+FF+waVLdvuyt/J+/t/4JO9Fcis703v3WYxc/z902T/I\n6whb0Pxau9b0Ke9Dn/I+nL7rNIqzi1nWdhlPFv6dNtVtOHrvUQwtG0q7qpb9v4x02f8SQdmFR1R/\nKppZJ2Ag0Lp2nnNuQaKKEhFJN3uyN/Ne4V9Y0/Fljiwdx/hPHqRDnSNuYVFQUcDZO8/mrJ1nsT5n\nPR+0W8YDHf9It4PdOHrfURxZdiStXKtklykiDWiy6TOzbwDfBnoC7wAjgDeBkYktTcJIf635UX7B\ntdTsdrf6lHcLH2Jdh1cZXHIhF6/8O22qOsX9feKdn2H0PtCb3gd6M9rOY1WbVXzQdhnzOr3CybtP\n5oQ9w1pU89dS97/moOzCI5ojfTcBJwFvOufOMbPBwC8SW5aISMu2M2cd7xX8mfUdXmfojou5ZOV0\nWld1THZZgWS7bIaUDWFI2RC2Z2/n9Y5v8Pse01pk8yeSyqK5Dr/cObcfwMxaO+dWAIOi2biZjTGz\nFWb2sZn94DDL3Bd5/T0zG9bUumbW2cxeMrOPzOxFM8ur89qxZvammX1gZu+bWU40dUr09AxFP8ov\nuJaSXeuBObzS88fM6n8dHQ725NIVTzF865SEN3zNlV9+RT4Tto/nK1svZ2urrfy+xzT+1eFfHLSD\nzfL+idJS9r9kUHbhEU3TtyEypm8G8JKZPQOsbWolM8sEfgOMAYYCl5vZkHrLjAUGOOcGAtcBv4ti\n3VuBl5xzRwJzI9OYWRY1Vxhf55w7mppnB1dE8flERBKuyipY3PUPDH6mL53LB3LpiqcYtu1r5FS3\nT3ZpCfHZ5m9bi2n+RFJZk02fc+5C51ypc+4O4CfAH4GJUWz7ZGCVc26tc66Cmid7TKi3zHjgL5H3\neQvIM7OiJtY9tE7ke20to4H3nXNLI9srdc5VR1GnxEBjM/wov+BSObvtbVYwY8DVbG+zgmXnrOK4\n4qtpVd22WWtIVn51m79tkebvrQ5vUUVVUuoJKpX3v2RTduER1W3WzWy4md0EHAt86pyL5k+1HsCG\nOtOfRuZFs0z3Rtbt6pzbGvl5K9A18vORgDOz581ssZn9RxQ1iogkTJUdZFHX3/N8n5s5tngyo9fe\nTcWWymSXlRT5FfmM3z6er2y5nHWt1/NQt4f4NOfTZJclklaabPrM7D+Bh4DOQD7wZzP7SRTbdk0v\nUvMWUS7zue0551yd+VnAF6h5NvAXgAvNTFcYx5nGZvhRfsGlWnbFbT5kxoCrKWm9ios+/isDd34p\nqU+yCEt++ZX5XLLtYk7fdToz82cyp/Mc9mfsT3ZZTQpLfqlI2YVHNFfvXgkc65wrBzCzXwDvAf/d\n6FqwkZrbvNTqSc0Ru8aWOSKyTHYD8zdGft5qZkXOuS1m1g3YFpm/AVjgnCuJ1DkbOAGYV7+w+2+f\nRmH3mjvJ57bLpe+g3ocOP9funJpueHrNynWhqifVppVfak2vfLfmdqSDjj8z6ulqq2Dv6JWs7PwM\n3Z89l+57TyL3+PzPLF8ryPYbm679DGHJr7HpwWWD2f/aAd5rt5Q/jnyQc3aejZufgWGhqK+x6Vrx\n/vdL9P6R7LzC8u8X9mmAZYuXs21TMfFmNQfLGlnA7BXgIudcaWS6EzDdOdfoUbTIhRUrgVHAJmAh\ncLlzbnmdZcYCU51zY81sBHCvc25EY+ua2a+AHc65O83sViDPOXdrpK6XqTnKVwHMAe5xzs2pV5eb\nvvgRREQaM2n4ZKbNa+JhtfUUt/mQ+T1/SscDvTl94/fJrcz/3DJTRubGvN1oTRmZSyr+ftvcajPP\nd36BHJfDF3eMpktll2SX1Kgg+0a0ErV/pOq+ITX7m3MuLqcJGnv27v2RH3cBy8zsxcj0edQ0YY1y\nzlWa2VTgBSATeDDStE2JvD7NOTfbzMaa2Spqnud7bWPrRjb9S+BJM/saNVcRXxpZp9TM7gHepuaU\n73P1Gz4RkURwOJZ3+QdLCh/k1E3fod+u85J6KjfVdDvYjau3XMXi9kv4a9HfGLZnGKftOpWsBDxf\nWCSdNfZf1GJqmqdF1NyupfaQ4KtEOV4v0nTNqTdvWr3pqdGuG5lfApx7mHX+BvwtmtokGD1D0Y/y\nCy6s2VVTyRs97mJr2/dC++g0CG9+tTLI4KQ9JzK4bBAvd3qZB7v/ifHbx9HtYLdklwaEP78wU3bh\ncdimzzn3UO3PkZscHxmZXBG5jYqISForz9zJ3N63kVXdhnGr/kir6nbJLinlta9qz4XbL2RF7gr+\nXvgPTt59EqfsPkVHTkXiIJpn755Nzf3w1kVm9TKzq51z8xNZmIST/lrzo/yCC1t2pTmf8GKf79F3\n1yhO3HI9GWQmu6RGhS2/pgwuG0y3A915Nv9Z1rReywU7zqd9VfJuZJ1q+YWJsguPaAZM3AOMds6t\nBDCzI6m5WfIJiSxMRCSs1rd/jQU9f8Ypm25i4M6xyS6nxepY1YGvbL2cNzq+yUPd/sKYHWMYuH9A\nsstKWZOGT07YtnWRSGqIpunLqm34AJxzH0WurpU0pLEZfpRfcGHIzuFYWvBXPsh/nNFrf01h2TFJ\nrScWYcgviAwy+MKu0+ld3rvmqF/ZGs7ZeTbZLrtZ60jV/OpK5BXHjWkJ2bUU0TyRY7GZ/dHMzjaz\nc8zsj9Rc3CEikjYq7QALjvgpn+S9yPhVf0qphq8l6HngCL66+VrKMvfxcNHDFGfH/x5mIi1dNE3f\nN4HlwLeBbwHLgOsTWZSEl/5a86P8gktmdvszS5nd7wYqM8q5YNUfaFfRtemVQqYl7Hutq1szYfsE\nTtx9Eo92fYwl7d7BRf3wJz8tIb9kUXbh0ehp2shp3Pecc4OBu5unJBGR8CjL2s7sfjfSe/eZnLjl\neiy6R5ZLghjGcfuO5YgDPZhZ8Awbcz5lTMmYZj/dK5KKGv3t5ZyrBFaaWe9mqkdCTs9Q9KP8gktG\ndvuytvFcv+vpv3M0J225MaUbvpa273Wp7MLkLVfizPHXrn9jV+buhL5fS8uvOSm78IjmN1hnap7I\nMc/Mno18PZPowkREkqlVj2ye6/9Njiy9gGHbvpbscqQB2S6bcdvHMXTfUB4uepj1ORuSXZJIqEVz\nFe6PI9/r3hmzeQZRSOhobIYf5Rdcc2a3M2sng5/py5AdF3PM9q802/smUkvd9wzjlD0nU1hRwIyC\nGZy+83RO2Dss7jdzbqn5NQdlFx6NPXu3DTUXcQwA3gf+pCdxiEhLV5pVymNdH2fLD7dzzJUto+FL\nB33L+zJ5y5U8VfAUW3O2MHrHaD27V6Sexk7v/gUYTk3DNxb4dbNUJKGmsRl+lF9wzZHdjqwdPNr1\nUU7bdSrb/lSS8PdrTumw73Wq7MTkLZM5YAd4tOhR9mTuidu20yG/RFF24dFY0zfEOXelc24aMAk4\ns5lqEhFpdsXZxTzW9XHO3Hkmx+89PtnlSECtXCsmbp/IgLKBPFz0MBtbbUx2SSKh0VjTV1n7Q+Qq\nXhGNzfCk/IJLZHZbs7fxeOETnFN6Dsfsa5k3XU6nfc8wTtt9Kl8sGcP0wqd4v+1S722mU37xpuzC\no7Gm71gz21P7BRxTZzqx18aLiDSTLa228ETXJziv9FyOKhua7HIkjgbs788VW77C6x1f57WOrzXb\njZxFwuqwTZ9zLtM5177OV1adnzs0Z5ESHhqb4Uf5BZeI7EqySvh7wT8YXTKawWWD4779MEnXfa9L\nZReu2jKZ1W3W8FyX2VRRFWg76ZpfPCi78EjdO42KiHjYm7mXJwqf5IxdX2Bw2aBklyMJ1La6LV/Z\nejkHMg7wZOHfKbfyZJckkhRq+iQmGpvhR/kFF8/syu0ATxQ+ybH7jk2bizbSfd/LdtlcWDyR/Ip8\n/lr0N3Zl7opp/XTPz4eyCw81fSKSViqpZHrhdHqW9+S0XacmuxxpRhlkcF7puRy39zgeKforW1pt\nSXZJIs1KTZ/ERGMz/Ci/4OKRXTXVPJP/LG2r2nJu6ai4P7UhzLTv/dtJe07kvJLzeKLwSVa1WRXV\nOsovOGUXHmr6RCQtOBwvdn6JAxkHuGD7+WTo119aG7T/SC7ZdjFzOj/PknbvJLsckWah33oSE43N\n8KP8gvPN7p8dX2dzq81cVHxhWj6eS/ve53U/2J0rt17Bog6LeCXv1UZv6aL8glN24aGmT0RavCXt\n3mFZ22Vcuu0SclxOssuREKl5dNuVbGi9ntldZlNNdbJLEkkYNX0SE43N8KP8ggua3YrcFbzR8Q0u\n2/Zl2la3jXNVqUP73uG1qW7DZVsvY2/mPp4qeJoKq/jcMsovOGUXHmr6RKTFWpeznhc7v8Ql2y4m\nrzIv2eVIiLVyrbh42yRauWyeKHxS9/KTFklNn8REYzP8KL/gYs2uJKuEmQUzGb99PF0ruiaoqtSh\nfa9pmWQybvs4Cg8W8reiR9mbuffQa8ovOGUXHmr6RKTFKc8o5x+F0zlr55n0Ke+d7HIkhRjGeaXn\nMrhsEH/t+jdKs0qTXZJI3Kjpk5hobIYf5RdctNlVU82M/Jn029+X4/Yel+CqUof2vegZxum7TueU\n3Sfzt66PsjV7q/LzoOzCI/3uWyAiLdrcTvMwjJGlI5NdiqS4YXuH0aa6DU90fZKjs48BdJpSUpuO\n9ElMNDbDj/ILLprs3mn3LmvbrGFC8QTdfLke7XvBDC4bzPjt41h6/vt81OajZJeTkrTvhYeO9IlI\ni7AuZx2v5b3GlVuuoLXuxSdx1Ke8D5duu4R/FE7nYOnBZJcjEpj+FJaYaGyGH+UXXGPZlWaV8kzB\ns4zfPp7OlZ2bsarUoX3Pz443dnL51suYn7eAgmu1j8VC+1546EifiKSsScMnk9k+gyHP92PrrSW8\n+ucfJ7skacHyK/K5YutXuPfG+3kv5y8cV3x1sksSiYmaPomJxmb4UX7BNZhdBox/7+t0ONiD0yb/\nB0yO3/tNGZkbv42FgPY9P7X55VXmseKC1RQtms3BjH2cuPV6DEtydeGmfS88dHpXRFJWzzuKqLYK\nRmy6JdmlSBqp2FLJ+Z/8nk87vMmb3X+N0/N6JUWo6ZOYaGyGH+UXXP3s3mv7PnlfbM+o9b8gQyct\nmqR9z0/9/NpUdeL8T37HjjYfseCI/6aayiRVFn7a98JDTZ+IpJxNrTYxv9N8Pr5iHTlVHZJdjqSp\nVtXtGLP6PsqytzOv14+pMl3ZK+Gmpk9iorEZfpRfcLXZ7cvYx4yCGYzZMYbyVfqfbLS07/k5XH7Z\nrg2j196Ns2pe6vM9Kq28mSsLP+174aGmT0RSRjXVzCx4hqP2Hc2R+wcmuxwRADJdK0at+zmtKzvx\nfN9vczBjb7JLEmmQmj6JicZm+FF+wX2waDkL8haQ4TI4Y+cXkl1OytG+56ep/DLI4qwNt9OpvD9z\n+k2lPHNXM1UWftr3wkNNn4ikhA056/mw7XLGbx+nR6xJKBkZnLbp+xTtO4HZ/a5nf2ZJsksS+Qz9\n5pSYaGyGH+UXzI6sHXz8pY+4sHgiudUt6/55zUX7np9o8zOMkzd/i967z2ZW/ynsy9qW4MrCT/te\neKjpE5FQO2gHebrgac7aeSbdDnZLdjkiTTKM4Vuv48jScczqP4U92RuTXZIIoKZPYqSxGX6UX2wc\njtld5tD9QA8yX22V7HJSmvY9P0HyO674Ko7Z/hVm9f8mu1qtS0BVqUH7Xnio6ROR0Hq7/SJ2Zu1k\ndMl5yS5FJJChOy7hhK3f4Ln+N1CS80myy5E0p6ZPYqKxGX6UX/TW52zgrY5vMbF4IllkKTtPys+P\nT36DSsdzyqabmNPvRra3Sb+jXtr3wkNNn4iEzp7MPTyT/wwXbD+fvKqOyS5HxFv/XaP5wsbbeL7v\nzWzJfS/Z5UiaSmjTZ2ZjzGyFmX1sZj84zDL3RV5/z8yGNbWumXU2s5fM7CMze9HM8uptr5eZ7TWz\n7ybuk6Uvjc3wo/yaVkUVM/JncsKeYfQt73tovrLzo/z8xCO/3rvP4uz1d/Byn/9gY7uFcagqNWjf\nC4+ENX1mlgn8BhgDDAUuN7Mh9ZYZCwxwzg0ErgN+F8W6twIvOeeOBOZGpuu6B3guIR9KRBLu1U7z\naV3dmlN3n5rsUkTi7oi9pzJq3S95pddPWN/+n8kuR9JMIo/0nQyscs6tdc5VAI8DE+otMx74C4Bz\n7i0gz8yKmlj30DqR7xNrN2ZmE4HVwIeJ+UiisRl+lF/jPmrzEStzV3LBjvMx7DOvKTs/ys9PPPPr\ntu8ERq+5mwVH/Iw1HefGbbthpX0vPBLZ9PUANtSZ/jQyL5plujeyblfn3NbIz1uBrgBm1g74PnBH\nHGoXkWa2M2snz3d5gYnFE2hT3SbZ5YgkVOH+o/nSmvt4s/vdfJynk1PSPBLZ9Lkol7OmF8Ea2p5z\nztWZfwfwv865sii3KQFobIYf5dewSiqZkT+TU3edSveD3RtcRtn5UX5+EpFfl/Ij+dLq/2NR0e9Y\n3nl63LcfFtr3wiMrgdveCPSsM92TmiN2jS1zRGSZ7Abm197SfKuZFTnntphZN6D2GTcnA5PM7FdA\nHlBtZvudc7+tX9j9t0+jsHsBALntcuk7qPehw8+1O6emG55es3JdqOpJtWnl1/D0pvM+pUNlB1q/\nkssHLI96fYCV7y5g0PFnHvoZCP103drjuf3ajJL979nSp2vF69/vfPd7Zve7kbWLP3tVb1j212j3\n56byCsu/X9inAZYtXs62TcXEm9UcLIs/M8sCVgKjgE3AQuBy59zyOsuMBaY658aa2QjgXufciMbW\njTR1O5xzd5rZrUCec+7Weu99O7DHOXdPA3W56YsfSchnFpHYLc9dzvy8BVyz+Wpau9YxrTtp+GSm\nzStLSF1TRuYmZNuJ2m7ttvX77d8mDZ+csG3H+99wb/ZWZve7gQ/vWcTt56/93JhWX9rvUtek4ZNx\nzsVlh0jYkT7nXKWZTQVeADKBByNN25TI69Occ7PNbKyZrQL2Adc2tm5k078EnjSzrwFrgUsT9RlE\nJLFKskp4sfNLfHnbpTE3fCLRSFTjHm/tKrpywSfT2DJhJG/n/x8nbbkx7o2fSELv0+ecm+OcG+Sc\nG+Cc+0Vk3jTn3LQ6y0yNvH6cc25JY+tG5pc45851zh3pnBvtnNvZwPv+tKGjfOJPYzP8KL9/q7AK\nZhTM5IydZ1B0sKjJ5ZWdH+Xnp/6pzETIrcxnxYQ1bGq3kDe7/xpHdcLfszlo3wsPPZFDRJJibqe5\ndKnozLC9xye7FJHQqCqtYuzq37KjzUcsOOJnVFOZ7JKkBUnkhRzSAh3ufkuJHDsDtJjxIrpfVY1l\nbZexvvUGrt58VdSnsJSdH+Xnp+7FMonWqrodY1bfx8t9vs+8Xj/mnA3/RaZr1WzvH2/a98JDTZ/E\nTSIHCUvLsT1rOy93msvlWy8jx+UkuxyRUMp2bRi99m7m9foxL/X5Hueu/RVZGvcqnnR6V2KisRl+\n0j2/g3aQGQUzOXvnWRRWFMa0brpn50v5+WmOMX31ZbpWjFr3c1pXduL5vt/mYMbeZq8hHrTvhYea\nPhFpNi91fpmuB7ty7N5jk12KSErIIIuzNtxO5/KBPNfvBsozP3ftokjU1PRJTDQ2w08657e07VI2\ntdrEF0tGB7oVRTpnFw/Kz09zjumrz8jg1E3f44i9I5jVfwr7srY1vVKIaN8LDzV9IpJw27O3M6/T\nK0zcPoFWKTwgXSRZDOOkLTcwsHQss/pfx+5WG5teSaQeNX0SE43N8JOO+R20g8zIn8E5pWdTUFEQ\neDvpmF08KT8/yRjT15Djiq/mmOIrmdVvCqU5nyS7nKho3wsPNX0iklA14/iKOGbfMckuRaRFGFpy\nMSdtuZHZ/W6kuM2HyS5HUoiaPomJxmb4Sbf8lrZdyqacjYHH8dWVbtnFm/Lzk8wxfQ0ZuPNLfGHj\nbbzQ9xY2tV2U7HIapX0vPNT0iUhCHBrHVzxR4/hEEqD37rMYue7nzOv9I9Z0eCXZ5UgKUNMnMdHY\nDD/pkl+FVTAjfyZne47jqytdsksU5ecnLGP66uu+bzhj1vw/3uxxFys6z0h2OQ3SvhceavpEJO5e\n6vxSzf34NI5PJOHy9w/m/E9+z7uFf+bdgodwuGSXJCGlpk9iorEZftIhv6VtP2BjnMbx1ZUO2SWS\n8vMTtjF99XU82Itxq/7IJ3kv8Fa3e3FUJ7ukQ7TvhYeaPhGJm+1Z25nXaZ7G8YkkQdvKAi5YPY1t\nucuY3/OnVFOZ7JIkZNT0SUw0NsNPS86vwioOPVc3XuP46mrJ2TUH5ecnrGP66sup6sDY1b/hQOZu\nXurzH1RaebJL0r4XImr6RCQuXuz8El0PFuq5uiJJluVac97au8ip6sDsflM5kLk72SVJSKjpk5ho\nbIaflprf+23fjzxX94txHcdXV0vNrrkoPz9hH9NXXwZZnLXhdgrLhjKr3xSyu2UlrRbte+Ghpk9E\nvGzLLuaVTq9y4XaN4xMJEyODUzbfwoCdX2LInH6UpMhj2yRx1PRJTDQ2w09Ly++AHWBGwQxGlY4i\nvyI/oe/V0rJrbsrPT6qM6avPMI4rvopP/3srs/vfkJSnd2jfCw81fSISiMPxfJfn6Vnek6P3HZXs\nckSkESXTdzFy3f8wr/eP+CTvhWSXI0mipk9iorEZflpSfkvavcOO7BLOKzm3Wd6vJWWXDMrPT6qN\n6WtI930nMnb1/7Gw6De8X/BIs93EWfteeKjpE5GYbW61mdfzXufC4olkkbwB4iISm87lAxj/yR/5\nOG82b3b/NdVUJbskaUZq+iQmGpvhpyXkV55RzoyCmXxxx2g6VXZqtvdtCdklk/Lzk6pj+hrStqIr\n4z55gNLWq5nb+7aE38tP+154qOkTkag5HLO6PMfAsoEM2j8o2eWISECtqtsxZs3/I6s6h9n9bqQ8\nc2eyS5JmoKZPYqKxGX5SPb+FHRZSllnGOaVnN/t7p3p2yab8/LSEMX31ZbpWnL3hpxTtG8azA77O\n7lafJuR9tO+Fh5o+EYnKhpwNLOzwNhOKJ5BJZrLLEZE4MDI4ectUji6+nGf7f53NbZckuyRJIDV9\nEhONzfCTqvnty9jHM/nPMHb7l+hY1SEpNaRqdmGh/Py0pDF9DRlSMomzNvyUub1v46NOs+K6be17\n4aGmT0QaVU01z+Y/y9H7jqF/ef9klyMiCXLE3lM4/5Pf807hg7xd9Fsc1ckuSeJMTZ/ERGMz/KRi\nfgvyXsMBZ+z8QlLrSMXswkT5+WmJY/oa0ulAXyas+jNb2r7D3N63UWH7vbepfS881PSJyGGtyF3J\nh20/ZML28WTo14VIWmhdlcfY1f9HdlUbnus/hX1ZxckuSeJEv8UlJhqb4SeV8tuetZ0XO7/IRcUX\nkludm+xyUiq7MFJ+flr6mL76Ml0rzvz0dvrsGskzA65le5sVgbelfS881PSJyOccsAM8Vfg0Z5ee\nTdHBomSXIyJJYBjHF1/DiE3f4fm+32Zth1eTXZJ40vOTJCYam+EnFfJzOGblP0fv8t4cu++YZJdz\nSGqrY2gAABkvSURBVCpkF2bKz0+6jOlrSN/dI2m3poiXen+fnTlrOK74GgyLen3te+GhI30i8hn/\n6vAv9mXu49ySUckuRURComD/UCas+hPrOrzG3F63cTBjX7JLkgB0pE9i8sGi5fqrzUPY81vTeg2L\n2y/h6i1Xhe4GzGHPLuzCmt+k4ZOTXUJUVr67IK2P9gG0rSzkgtW/543ud/HMgK9y3tq76HiwV5Pr\nhXXfS0dq+kQEgJ1ZO5mV/xwTiyfQvqp9ssuRNDJtXllCtjtlZPIvQGppMl0rztj4I1Z0fppnB3yD\nszb8Z7JLkhio6ZOY6K81P2HNr8IqeKrgaU7dNYKeB3omu5wGhTW7VKH8/KT7Ub76BpdcSKfy/szt\n9UO63VKAwx12nJ/2vfDQmD6RNOdwPN/5BQoO5jN8z/BklyMiKaJr2bFMWPVn8s5rz9MFMzhgB5Jd\nkjRBTZ/ERPdb8hPG/Ja0e4fiVsWMKRkT0xV5zS2M2aUS5ecn3e7TF622lQWsmLiG3KpcHi56hJKs\nks8to30vPHR6VySNrctZz+t5r3PVlslku+xklyMiKcgddDzQ96/kT+7Elh9uZe0PNrLz+T1x2/70\nxY/EbVvpTk2fxERjM/yEKb/SrFKeKXiG8dvHk1eZl+xymhSm7FKR8vOjMX2Nq70YZ9uupcz704/o\nu2sUJ22+kQzPNkMX48SXTu+KpKFyK+fvhf/gCzu/QJ/y3skuR0RaiMKyY5j48cPszFnHrP7XsSd7\nc7JLkjrU9ElMNDbDTxjyq6aaGQUz6be/L8P2Hp/scqIWhuxSmfLzozF90WtdlcfotXfTZ9coZg64\nlgUf3Z/skiRCp3dF0szLneaSgTGydGSySxGRFsowjt1+BV3LjuGp/Bto1a2Kk7bcSKbGDieVjvRJ\nTDQuyE+y81vcbgnrW69jfPEEMlLsP/9kZ5fqlJ8fjekLpmvZsVxb8By7ctYzq98Une5NstT6rS8i\nga1pvYY3Or7BxcUX09rlJLscEUkTras6Mnrt3fSNnO5d12F+sktKWwlv+sxsjJmtMLOPzewHh1nm\nvsjr75nZsKbWNbPOZvaSmX1kZi+aWV5k/nlmtsjM3o98PyfRny/daFyQn2TltyNrB8/mz2Li9gkp\ncaVuQ7Tv+VF+fjSmL7iV7y44dLr3vHW/4s3ud/Nmt3uo1M2cm11Cx/SZWSbwG+BcYCPwtpk945xb\nXmeZscAA59xAMzsF+B0wool1bwVecs79KtIM3hr5KgYucM5tMbOjgBeAIxL5GUXCbn/Gfv5ROJ2z\nS89OyiPWJg2f3OzvKSLh1LXsWCZ+/Aj/7PELZv7/9u48OI7yzOP495mR0OFL2JYvzOEYQ+wUhy1i\nyAKBcAWTBGPMkcucWZzNAklliw1kUwW1IRVCdjfZJFUsu2EXNkvCFQIGG2IIxgnhMDiWD27L2PgQ\nknzIliVb1zz7x/SQsZDkmekZzUjz+1SpNNPT3er++R350Ttvvz3tSs58/58Zs/+YfB9W0cj1hRyz\ngfXuvhHAzB4A5gLJf3JeCNwH4O6vmFmVmU0ApvSz7YXAGcH29wHPAze7e23Sft8AKsys1N07c3J2\nRUjjgsIZ6Py66ebR6t9xTNs0jm89bkB/drLEHF7Zpjm8Uqf3bjga05e5ntmVd4/i7Pd/yPqqJTz1\nses5rumrHNf0FSJE83SExSPXH+8eBmxOer4lWJbKOpP62Xa8uzcEjxuA8b387PnAShV8UqwcZ+no\npZTFyjij+YyDbyAiMkAMY1rz55j77r1sHvECSz72DVpKt+X7sIa8XBd9nuJ6qdzw03rbn7t7z+XB\nR7t3AAtT/PmSIo0LCmcg83t55MtsK6vnC9s/P+iu1O2NxlSFo/duOGp/mesvuxGdk7hgw10c3nIq\nj0+7inerFuMplw6Srlx/vLsVSB5EdDjxHrv+1pkcrFPay/KtweMGM5sQjN2bCDQmVjKzycCjwAJ3\nf6+3g/r5rXczblI1AJXDK5ly7JEffvSR+MWo570/f+/tTb2+npB4cye687P1PCHf55+r/LL9vPvM\nDmpHrKbmiU/ybmxD3s8/IdvtI7Es2+0t189zmce6197M+7/3UG8fuTregdr/QB9vKudzQtMVdCyP\n8vy4n7Bp1p84bevNbFq55oDtC6W9DsT74fWVb9K4rYlss3hHWW6YWQnwNnA2sA1YAXyplws5rnf3\nC8zsFOCn7n5Kf9ua2Z3ADnf/kZndDFS5+83BVbzLgVvd/bE+jsl18+bsm1+zIKfjtvRvlrp3Kt7h\n96OX8pWGLzO6a3S+DyfnbWOw7TvXxzzY3iuDsX2o3eVu313WzmsT7mJD1TOcvvl73D777EHXprNt\nfs0C3D2VT0QPKqc9fe7eZWbXE7+KNgrcExRtC4PX73b3JWZ2gZmtB1qBq/vbNtj1HcBDZnYtsBG4\nLFh+PTAVuNXMbg2Wnevu23N5niKF4v2yzTw15mkua7y0IAo+EZF0lHgZp9R/iyP2nMqKib8gUpmV\nWkcCOR/o4+5Pufux7n60u/8wWHa3u9+dtM71wesnuPtf+ts2WL7T3c9x92Pc/Tx3bw6W3+7uw919\nZtKXCr4s0rigcHKZX2NpI49VP8bc7RcysWNizn5OvmhMVTh674aj9pe5TLKb1PpJ5q6/l1ibxvdl\n0+Af3S0iNJc08/C4hzl35zkctf+ofB+OiEholtI1npIOFX2SFs31FU4u8muNtPLguIc4Zc8pTG8b\nuv8+mictHL13w1H7y5yyKxwq+kQGsXZr5+FxjzC9dTo1LTX5PhwRESlgKvokLRoXFE428+uii0er\nf8eEjvGcvvu0rO23UGlMVTh674aj9pc5ZVc4VPSJDEIxYjw59knKYmWct/M8jX0REZGDyvXkzDLE\naFxQONnIz3GeHv17WqNtXN5w2ZC420YqNC4oNfNrFuRkv8U+V5raX+aUXeFQ0ScyiMSI8dSYp9hV\n0syljZdQorew9JCriX1FZPArji4CyRqNCwonTH4xYiwes4TdJXu4rPFSyrwsi0dW+DQuKBzlF47y\ny5yyKxzqJhAZBOIF32L2Rlu5tPESSr0034ckIiKDjIo+SYvG9IWTSX4xYjwx9kn2RfZxSdP8oi34\nNC4oHOUXjvLLnLIrHCr6RApYN908MfYJ2iMdzG+6uGgLPhERCU9j+iQtGtMXTjr5ddPNorGL6LRO\n5jeq4NO4oHCUXzjKL3PKrnCop0+kAHXTzWPVjxMjxrymebpKV0REQtP/JJIWjekLJ5X8uujiserH\nMYyLm+YRJToAR1b4NC4oHOUXjvLLnLIrHCr6RApIu7XzWPXjlHopc5suVMEnIiJZozF9khaN6Qun\nv/z2RPdw/4RfM6prFBc1zVXB14PGBYWj/MJRfplTdoVDPX0iBaChtIFHxv2WmpYaTt4zW/fSFRGR\nrFPRJ2nRmL5wesuvrryOxWOXcO7Oc5jepnz7onFB4Si/cJRf5pRd4VDRJ5JHq4bX8sKoF7i4aR6T\n2yfn+3BERGQI05g+SYvG9IWTyM9xllU9z4qRK/hqw1dU8KVA44LCUX7hKL/MKbvCoZ4+kQHWaZ0f\n3kf3ig8WUBGryPchiYhIEVBPn6RFY/rC+djsI3lg3ANEiPDFhstV8KVB44LCUX7hKL/MKbvCoZ4+\nkQFSf0g9j49dxIy26ZzefLqu0BURkQGlnj5Ji8b0pc9xXh3xKg+Pe4Qjlh7Fp5s/rYIvAxoXFI7y\nC0f5ZU7ZFQ719Ink0L7IPhaPWUJrMH5vy/76fB+SiIgUKRV9khaN6Uvd5rItPDF2ER9v/Tjzmi4i\nSpSqk6ryfViDlsYFhaP8wlF+mVN2hUNFn0iWOc5LI19m5ciVzNkxh6P3Tc33IYmIiGhMn6RHY/r6\ntzeylwfHPciGig1cWX/FRwo+5Zc5jQsKR/mFo/wyp+wKh3r6RLJkY/lGnhyzmOP3Hs9pu08lor+p\nRESkgKjok7RoTN9H7YvsY3nVctZX1PH5HZ/jqP1H9bmu8sucxgWFo/zCUX6ZU3aFQ0WfSIYcZ92w\n13n+0Oc5tu0YvrbtWsq9PN+HJSIi0isVfZKWda+9qd4qYHvJdpaOeYZ2a+eSxvlM7JiY0nZh85tf\nsyDjbVPx25W/yun+w3i79o/qMQhB+YWj/DKn7AqHij6RNHRaJy+Oeona4bWcuvtUZrXMHPCxe3c/\n15aT/S48qzIn+xURkcKgok/SUsy9fHXldSwd/QyTOiZyTf3VjOgekfY+ijm/sNRTEI7yC0f5ZU7Z\nFQ4VfSIH0VzSzLKqZTQc0sj5Oz/LlP1T8n1IIiIiadOcEpKWYppnrrmkmSVjlnDvhPuo7qzm2vpr\nQhd8xZRftmmur3CUXzjKL3PKrnCop0+kh10lu3hx1Iu8W7GeWS2zWLjtOipiFfk+LBERkVBU9Ela\nhvKYtF0lu/jzqBepq6hjVstMvr5tIeWx7E7BMpTzyzWNCwpH+YWj/DKn7AqHij4pejtLdvLiqJeo\nq6ijpmUWC7dep/n2RERkyFHRJ2kZKvP0Oc7G8o2sHr6aTeXvU9NSMyDFXqHnl+t5AMPQXF/hKL9w\nlF/mlF3hUNEnRWVPdA9rhq9lzfA1VHRXcMLe4zl/xxzKvSzfh1YQcjEHoOb/ExEpDCr6JC2F3EvV\nl266WV+xntUj1rDtkG3MaJvOxU3zmNAxYcCPZTDmVyjUUxCO8gtH+WVO2RUOFX0yJDnO9tLtrBu2\njnXDX2d052hO2Hs885ouotRL8314IiIiA05FXxEp5PFa2dBFF5vLN7O+oo66ijq6rZsZrTP48gdf\nYkzXmHwfHlD4Y/oKmcYFhRM2v6H+++Ng1P4yp+wKh4q+IhN2zFZfb958jdvaG9lLXcUG6irr2FS+\nkbEdY5m672gubppHdWc1huXluESGGt3zWWTwU9Enacn3X2v7bT/1ZfVsKdvKhooN7CzZyZT9Uzim\nbRrn7/gslbHC/g9EvXyZy3fbG+yUXzjKL3PKrnCo6JOCFaOLXeUbqL7qUBaPWcy2sm20RPcyvmM8\nk9onceauM5ncfhhRovk+VBERkYKX06LPzM4HfgpEgV+6+496WednwBygDbjK3Vf1t62ZjQYeBI4E\nNgKXuXtz8NotwDVAN3Cjuy/N5fnlwp03/YLal9bk+zD6lKuxGe2RFnaXbWJ32SZ2ltfRVPk6Oyre\nZljneIbNqmRS+2GctOckqjuriQziW0ZrTF/mNC4oHOUXjvLLnLIrHDkr+swsCvwCOAfYCrxqZovc\n/c2kdS4Ajnb3aWZ2MnAXcMpBtr0ZeMbd7zSz7wTPbzazGcDlwAzgMOBZMzvG3WO5Osdc6Gjv5sqb\n/otPnHxeVve7q3ELt109K/R+Nq9fnfGbt9s62FtaT3PZ+x8WeLvLNtFc9j7dkf2MbD+CqvYjqGqf\nwomN11DdNoOy2AgW3ljJ7fxr6GOXwS1M2xPlF5byy5yyKxy57OmbDax3940AZvYAMBd4M2mdC4H7\nANz9FTOrMrMJwJR+tr0QOCPY/j7geeKF31zgN+7eCWw0s/XBMbycu1PMjdKycsorhmd1n2Xlw7Ky\nn317dx/w3HG6rZ3SCSVsr3iLtpImWkubaCvdTmtpI20l22krbaStdDsdkb0M6xzHqPYjGdV+JGP2\nHcvU5vMY1X4klV39X3SRq0mDczk4vbd9P3Hv7Xzhqu+F2m+x6tn2JD3KLxzllzllVzhyWfQdBmxO\ner4FODmFdQ4DJvWz7Xh3bwgeNwDjg8eTOLDAS+xLiBdnVmp0Rtrotk5i1knMuui2Droi+w/8sv10\nRfZ9+Lwzso+OaAvt0RbWVy1j0dT3aI+20BHdQ3u0BcOY8exU/jjq+wzrHEdl51gqu6oZ1/aJ+OPO\ncVR2jaWi61BsEH80KyIiMpjlsujzFNdLZU4N621/7u5m1t/PSfUYCkZkQScvTL2NlyM/gAjxM098\nRYLTSSyPBssiYBEgGn9M8uMSoMSx42HWpuncH51D1EuJeAkRLyXqpURj5ZTEyimNlRP1ckpjFZQE\nyxJfI9sPp6x7BK/X1TK7/gbKukdwSPdIyrpHUOLlLDyrkm88t2rgAxtktn+wKd+HMGgpu3CUXzjK\nL3PKrnCYe27qIjM7BbjN3c8Pnt8CxJIv5jCz/wCed/cHgudvEf/odkpf2wbrnOnuH5jZRGCZu3/c\nzG4GcPc7gm2eBm5191d6HNegKwRFRESkeLl7ViadzWVP32vANDM7CthG/CKLL/VYZxFwPfBAUCQ2\nu3uDme3oZ9tFwJXAj4LvjyUt/7WZ/Rvxj3WnASt6HlS2ghMREREZTHJW9Ll7l5ldD/ye+AeR97j7\nm2a2MHj9bndfYmYXBBddtAJX97dtsOs7gIfM7FqCKVuCbd4ws4eAN4Au4Bueq25MERERkUEmZx/v\nioiIiEjhGHKXUprZRjNbY2arzGxFsGy0mT1jZu+Y2VIzq0pa/xYze9fM3jKz7E6ONwiY2X+bWYOZ\nrU1alnZeZlZjZmuD1/59oM8jX/rI7zYz2xK0wVVmNifpNeUXMLPDzWyZmb1uZuvM7MZgudpfCvrJ\nT+0vBWZWbmavmFmtmb1hZj8Mlqv9HUQ/2antpcHMokFOTwTPc9/23H1IfQHvAaN7LLsT+Mfg8XeA\nO4LHM4BaoBQ4ClgPRPJ9DgOc1+nATGBthnkleotXALODx0uA8/N9bnnM71bg272sq/wOzGMCcGLw\neDjwNjBd7S90fmp/qWdYGXwvIT7l12lqf6GyU9tLL8NvA/cDi4LnOW97Q66nL9DzYo0PJ4EOvl8U\nPP5wQmePTwSdmNC5aLj7n4BdPRank9fJFr+KeoS7Jy6c+d+kbYa0PvKD3qciUn5J3P0Dd68NHu8l\nPvn6Yaj9paSf/EDtLyXunphB/RDi48d3ofaXkj6yA7W9lJjZZOAC4Jf8NbOct72hWPQ58VuwvWZm\nfxss629C5y1J22pC57h08+q5fCvK8QYzW21m9yR10Su/Plj8Sv2ZwCuo/aUtKb/EBPVqfykws4iZ\n1RJvZ8vc/XXU/lLSR3agtpeqnwA3Acm3is152xuKRd+p7j4TmAP8vZmdnvyix/tAh9SEzrmUQl7y\nUXcRn2vyRKAedOPg/pjZcOC3wDfdvSX5NbW/gwvye4R4fntR+0uZu8fc/URgMvBpM/tMj9fV/vrQ\nS3ZnoraXEjP7PNDo7qvo4wYVuWp7Q67oc/f64HsT8DviH9c2WPyevgTdoY3B6luBw5M2nxwsK3bp\n5LUlWD65x/KizdHdGz1AvOs+MWRA+fVgZqXEC75fuXtizk21vxQl5fd/ifzU/tLn7ruBxUANan9p\nScruJLW9lP0NcKGZvQf8BjjLzH7FALS9IVX0mVmlmY0IHg8DzgPW8tcJneGjEzp/0cwOMbMp9DGh\ncxFKKy93/wDYY2Ynm5kBC5K2KTrBmzVhHvE2CMrvAMG53gO84e4/TXpJ7S8FfeWn9pcaMxub+PjR\nzCqAc4FVqP0dVF/ZJQqWgNpeH9z9u+5+uLtPAb4IPOfuCxiIthf26pNC+iLerVwbfK0DbgmWjwae\nBd4BlgJVSdt8l/igyLeAz+b7HPKQ2W+I3/WkA9hMfILstPMi/hfy2uC1n+X7vPKY3zXEB9OuAVYH\nb8Dxyq/X7E4jPp6llvh/tquA89X+QuU3R+0v5fyOA/4S5LcGuClYrvaXeXZqe+lneQZ/vXo3521P\nkzOLiIiIFIEh9fGuiIiIiPRORZ+IiIhIEVDRJyIiIlIEVPSJiIiIFAEVfSIiIiJFQEWfiIiISBFQ\n0SciRcfM/snM1gX3CF1lZrPN7JvBRLMH2/ZbyeuZ2WIzG5mt9UVEckXz9IlIUTGzTxG/J+gZ7t5p\nZqOBcuDPxG8lteMg27+XynqZri8ikivq6RORYjMB2O7unQDuvhO4BJgELDOzPwCY2V1m9mrQI3hb\nsOzGXtbbaGajzWxY0ItXa2ZrzewyM7uhr/WDx1cEvY21ZnZfsOzSYPtaM1s+gLmIyBCnnj4RKSrB\nfblfACqJ3/LoQXf/Y9AjVxMUgZjZoe6+y8yiwXo3uPu6XtZ7j/itkD5D/PZI1wXLR7h7Sz/rTwQe\nBT7l7jvNrMrdm81sTbCfejMb6e57BiwcERnS1NMnIkXF3VuJF13XAU3Ag2Z2VfCyJa16uZmtJH6P\n0U8AMw6y6zXAuWZ2h5md5u4t/axrwFnAQ4li0N2bg9f+DNxnZl8DSlI/MxGR/ukXiogUHXePAcuB\n5Wa2Frgq8RKAmU0B/oH4WLzdZvY/xMf99bfPd81sJvA54HYz+4O7f7+/TTiwyEzs5+/MbHawn5Vm\n9mEvoYhIGOrpE5GiYmbHmNm0pEUzgY1AC5C4qnYk0ArsMbPxwJyk9ZPXS97vRGC/u98P/Euw377W\nd+A54NKk8X2HBt+nuvsKd7+VeE/k5AxPVUTkAOrpE5FiMxz4uZlVAV3Au8Q/6v0y8LSZbXX3s81s\nFfAWsJn4GMCE/0xeL2n5ccCPzSwGdAJf7299d3/DzH5AvLexm/jHyNcAdwZFqQHPuvuarCcgIkVJ\nF3KIiIiIFAF9vCsiIiJSBFT0iYiIiBQBFX0iIiIiRUBFn4iIiEgRUNEnIiIiUgRU9ImIiIgUARV9\nIiIiIkVARZ+IiIhIEfh/i9nq3udj2c4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111882ad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmMAAAHBCAYAAAAl9LwFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nErkYMzMzMyvRfzKKnNiu5B3WAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1132550d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAApAAAAHBCAYAAADej4ufAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nREREZERUQIqIiIjIiPw3UP+gmUhdPbYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113255710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAoAAAAHBCAYAAAD5IQp3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113469b90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAokAAAHBCAYAAAAFNCG9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nERERaUZFooiIiIg0oyJRRERERJr5X1XaKeDrS56sAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110b17910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnwAAAHBCAYAAADzUWZgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XmcU/W9//HXZ5KZAZRFRWXfBARRVhfEjYpailWx1H23\ndanVWm/be9vaxd7e29vWX1tbulm7uGtttWrdxRWLKMqqsogosrmCiCDMJPn8/kiGDuMsyTmT5CR5\nPx+PeTDJnHPyzYdvkk++38/5HnN3RERERKR8VRW7ASIiIiKSX0r4RERERMqcEj4RERGRMqeET0RE\nRKTMKeETERERKXNK+ERERETKnBI+EckbM3vSzL7Qzsf8nZl9J+QxJprZqvZqU6Pj9jOzTWZm7XjM\ni8zsF5nfB5hZysyafe82s6vM7KaQj3eumc3McZ9aM1tsZt3DPLaI5I8SPhEJxczeMLMtmUTnLTP7\ni5ntlPmzZ37ajbt/yd3/pz2P2V7c/U137+yZBU7DJrxmVgNcCfw02yYEfaww3H0b8Gfgm8V4fBFp\nmxI+EQnLgc+6e2dgLLA/EGoErhSZWbyZu8MmYCcAi919XbbNCPl4YdwGnGNm1UVsg4i0QAmfiLQb\nd18LPASMaHT3ADN7xsw+NLOHzWw3ADO738wubby/mS00sxMyv//CzN42s42Z+/fJ3H+9mf2w0T4n\nmNn8zHbLzezTmfvPM7NXMo/7mpldmM1zMLMfmNmvMr9Xm9lmM/tp5nZHM9tqZt0aTa+eb2YrgRlm\n1j9zX8zM/hc4DPh1ZvSz4ZjDzOxRM3vfzJaY2UmtNOczwFPN3P8FM1tjZmvN7GutPJfjzexlM9tg\nZk+Y2bBGf+trZneZ2Ttm9p6ZTW/hGFeb2Uwz62xmg83sKTP7wMzeNbPbG7Zz99XABuDgVp6PiBSJ\nEj4RaQ8G6SSCdJIyr9H9pwPnAnsANcDXM3+7Hjhz+wHMRgG9gPszSdthwBB37wqcBKzPbLp9mtjM\nDgRuAL6W2e5w4I3Mdm8Dx7p7F+A84BdmNiaL5/IkMDHz+wHAusxxIZ3MLHb3DxptfzgwDPg0/x5h\nc3e/EpgJfDkzzfuVzFT3o8DNwO7AqcBvzWx4C23ZF1jazP0TgcHAMcB/mdmkphuY2VDgVuArQHfg\nAeCfZhY3sxhwH/A60B/oTXqErvH+ZmbXZdpwtLtvAn4IPOTu3TL7/KrJwy4GRrXwXESkiJTwiUhY\nBtxtZhtIJzhPAj/K/M2BP7v7cnffCtwBjM787Z/AUDPbK3P7LOB2d08A9UBnYLiZVbn7Und/q5nH\n/gLwJ3d/DNIjjO6+NPP7A+7+eub3p4FHSCeRbZkNDDGzXTPb/wnonUnWjuCTI25XufvHmTq2luLT\n4LPA6+5+g7un3H0+cBfphLY53YBNzdz/g8xjvgT8BTitmW1OAe5z98fcPQn8P6AjcAhwINAT+EZD\n2919VqN9q4HbM49/XOb/DqCO9Ihtb3eva7IPmbZ2a+G5iEgRKeETkbAcOMHdd3H3Ae5+aZPkp3Gi\n9jGwM0CjBPCszFmtpwI3Zf72OPBr4DfA22Z2rZl1buax+wCvNdcoM/uMmc3OTJ1uAKYAu7X5ZNw/\nBl4gndwdTjrBm0U6UWq43VhbZ/s2ruPrDxyUmWLdkGnX6cCeLey7AejSzP2NH/NN0iOjTfXK/C3d\niPSJJKtIj8z1AVa6e6qFxx0MHAf8dyYBb/CfpBPY583sJTM7r8l+nTNtFpGIUcInIsV0A3AGcBSw\nxd2fa/iDu0939/2BfYChwDea2X8V6eRkB2ZWC9xJ+uzWPdx9F9JTmtme1PAUMAkYA8zJ3J5MemTs\n6SbbtnZiRtO/vQk8lUmOG346u/uXW9h/Ienn3lS/Jr+vaWabNaQTTCA9RQv0BVaTjlu/zNRucxYD\n5wMPZqaG00/G/W13v9DdewMXkZ6OHtRov+HAghaOKSJFpIRPRPKtxSTL3Z8lnRT9P+DG7TuY7W9m\nB2XO+NwCbAWSjY7XcMw/AeeZ2ZFmVmVmvc1sb9K1gjXAe0DKzD5Dut4tW08BZwMvu3s96WnqLwIr\n3P39HI7zNrBXo9v3kZ7GPjNzQki1mR3Q+GSKJh4gPdLY1HcyJ5CMIF0f+ddmtvkbcGwmNtXA10jH\ncRbpJHYd8GMz62RmHcxsQuOd3f124NukT0YZBGBmJ5lZn8wmH5D+v0tl/tYb2JX0lLiIRIwSPhHJ\nN2/ye9NRrxuB/UifyNCgC/AH0idqvEE6cbu66THcfQ6ZEzJIJyBPAv0yJxh8hfSU8XrSNW73tNKu\npp4FOvDv0bzFpKejsxnda3zfL4HPm9l6M7vG3T8inXieSnoEbh3wf6ST0+bcBwwzs55Njv8UsByY\nAVzt7jMa/a0hNktJnxQzHXgXOJZ0PV4iU9N3HOnR0TdJj/id3MwxbgT+G3jczPqTXnJntpltIh3P\nr7j7G5n9TgeuzyTIIhIxllkfND8HN5sMXAPEgD+6+0+a2eZXpM/q2wKc6+7zWtvXzK4mXfhcR7p2\n5zx332hmA0i/KS/JHPpZd78kb09ORNqFmZ0FXODuh7e5cQUyswuAfdz9imK3pSWZKfT5wGHu/l6x\n2yMin5S3hC9TG7KUdG3OGtJTCKe5++JG20wBLnX3KWZ2EPBLdx/f2r5mdjTwmLunzOzHAO7+zUzC\n90933y8vT0hE2p2ZdQIeB37t7je3tb2IiASTzyndA4Hl7v5GZoj/dtKrxjd2POmibTLF2t3MrEdr\n+7r7o43OLHuO9NlmIlJiMmvtvUN6WvPWIjdHRKSs5TPh682OSwesztyXzTa9stgX0meRPdDo9kAz\nm2fp61ceGrThIpJ/7v6wu+/s7ie2sjyIiIi0g+au/dhesp0rDnTtRzO7Eqhz94aRgbVAX3ffYGZj\nSS8EOyJTvC0iIiJSsfKZ8K0hveZTg4b1n1rbpk9mm+rW9jWzc0kvorr9ckLuXkf6RA7cfa6ZvQYM\nAeY2fkAzy99ZKiIiIiLtzN0DDY41ls+E7wXSlycaQHr07RQ+efmfe4FLgdvNbDzwgbu/bWbvt7Rv\n5uzdbwBHNLrcD2bWHdjg7snMmlFDgBXNNWzW3Rvb6SlWnj/e9n988bRvFbsZJUmxC0fxC0fxC0fx\nC06xC2fC1K7tcpy8JXzunjCzS4GHSS+t8qfMWbYXZf5+rbs/YGZTzGw5sJn0elot7ps59HTSa1Y9\nml44fvvyK0cAPzCzetILgV7U5ALn0g7WvbOy2E0oWYpdOIpfOIpfOIpfcIpdNORzhA93fxB4sMl9\n1za5fWm2+2buH9LC9neSvpSSiIiIiDSiK21ITo498oxiN6FkKXbhKH7hKH7hKH7BKXbRkNcrbUSR\nmblq+ESklLVXTU+29J4pUjwTpnaN/EkbUobmLprJ2P0OK3YzSpJiF47it6PL1jV7TlqLVs+aTZ8J\n43N+nOk9B+W8TznKpf8VOiGX8pHPL1dK+ERERNpZpc2eSXiZE1HzRjV8khONsASn2IWj+IUTZHRP\n/k39T0qdEj4RERGRMqeET3Iyd9HMYjehZCl24Sh+4ayeNbvYTShp6n9S6pTwiYiISGjnnnsu3/3u\ndwGYOXMmw4YNK8jjVlVVsWJFbicxZWPAgAE89thj7X7cYlHCJzlRHUtwil04il84quELp1z634AB\nA+jUqROdO3emR48enHfeeWzevLldjm1m2088OOyww1iyZEmb+1x//fUcdlh+YnvxxRdzzjnnfOL+\nBQsW0KFDBz74oPWLcTV+PuVACZ+IiEiFMDPuu+8+Nm3axNy5c3nhhRf4n//5n09sl0gkAh0/Smcn\nn3vuudx1111s2bJlh/tvuukmjjvuOLp161aklhWHEj7JiepYglPswlH8wlENXzjl2P969erF5MmT\nefnll4H01Ohvf/tbhgwZwt577w3Afffdx+jRo9lll1045JBDWLRo0fb9582bx9ixY+nSpQunnnoq\nW7du3f63J598kr59+26/vWrVKj73uc+xxx570L17dy677DKWLFnCxRdfzLPPPkvnzp3ZddddAdi2\nbRtf//rX6d+/Pz169OBLX/rSDse++uqr6dWrF3369OHPf/5zi89v/Pjx9O7dmzvv/PdVV5PJJLfd\ndhtnn302K1as4Mgjj6R79+7svvvunHnmmWzc2Pw6eI2nq5t7fmvXrmXatGnsscceDBo0iOnTp2//\n2/PPP8/+++9P165d6dGjB1/72tdabHM+KeETERGpIA2jcKtWreLBBx9kzJgx2/92zz33MGfOHF55\n5RXmzZvHF77wBa677jrWr1/PRRddxPHHH099fT11dXVMnTqVc845hw0bNnDSSSdx5513NjsFmkwm\n+exnP8vAgQNZuXIla9as4bTTTmPYsGFce+21HHzwwWzatIn169cD8M1vfpPly5ezYMECli9fzpo1\na/jv//5vAB566CF+9rOfMWPGDJYtW8aMGTNafa5nn302N9544/bbM2bMoL6+nilTpuDuXHnllaxb\nt47FixezatUqrrrqqmaP09r0biqV4rjjjmPMmDGsXbuWxx57jGuuuYZHHnkEgMsvv5wrrriCjRs3\nsmLFCk4++eRW25wvSvgkJ+VSx1IMil04il84quELp1z6n7szdepUdtllFw477DAmTpzIt7/97e1/\n/9a3vkW3bt2ora3lD3/4AxdddBEHHHAAZsbZZ59NbW0tzz77LLNnzyaRSHD55ZcTi8WYNm0aBxxw\nQLOP+fzzz7Nu3TquvvpqOnbsSG1tLRMmTNjenqbtu+666/j5z39Ot27d2HnnnfnWt77F7bffDsAd\nd9zB+eefzz777EOnTp34wQ9+0OrzPfPMM3nqqadYu3YtADfeeCNnnHEGsViMvfbai0mTJlFdXU33\n7t254ooreOqpp1qNXXPmzJnDe++9x3e+8x3i8TgDBw7ki1/84vY219TU8Oqrr/Lee+/RqVMnDjro\noFbbnC+60oaIiEgBxYeua5fjJJb1zHkfM+Oee+7hyCOPbPbvjacpV65cyY033rjD9GR9fT3r1q3D\n3endu/cO+/bv37/ZY65atYr+/ftTVdX2GNO7777Lli1bGDdu3Pb73J1UKgXAunXrdkgs+/Xr1+rx\n+vXrx+GHH85NN93El7/8Ze655x5mzkxPz7/99ttcfvnlPPPMM2zatIlUKrV9WjkXK1euZO3ateyy\nyy7b70smkxx++OEA/OlPf+J73/sew4cPZ+DAgXz/+9/n2GOPzflxwlLCJznR9UyDU+zCUfzCCXot\nXUlrz/4XJFErlMbTlv369ePKK6/cYQSwwVNPPcWaNWt2uG/lypUMHjz4E9v27duXN998k2QySSwW\na/HxALp3707Hjh155ZVX6Nnzk3Hq2bMnb7755vbbjX9vyTnnnMNPfvITevTowcCBA7dPYX/7298m\nFovx0ksv0a1bN+6++24uu+yyZo+x00477XDyx1tvvbXD8xs4cCDLli1rdt/Bgwdz6623AnDnnXfy\n+c9/nvXr19OxY8c2296eNKUrIiIin3DBBRfw+9//nueffx53Z/Pmzdx///189NFHTJgwgXg8zq9+\n9Svq6+u56667mDNnTrPHOfDAA+nZsyff/OY32bJlC1u3bmXWrFkA7LnnnqxevZr6+nogfeLIBRdc\nwFe/+lXeffddANasWbO9Hu7kk0/m+uuvZ/HixWzZsqXNKV2AadOm8eabb3LVVVdx7rnnbr//o48+\nYqeddqJLly6sWbOGq6++usVjjB49mgceeIANGzbw1ltvcc011+zw/Dp37sxPf/pTPv74Y5LJJC+9\n9BIvvPACADfffPP259K1a1fMLKvRzvamhE9yohGW4BS7cBS/cDS6F04l9L+mo23jxo3juuuu49JL\nL2XXXXdlyJAh20+AqK6u5q677uL6669nt91244477mDatGnNHi8Wi/HPf/6T5cuX069fP/r27csd\nd9wBwKRJkxgxYgQ9evRgjz32AOAnP/kJgwcPZvz48XTt2pWjjz56++jZ5MmT+epXv8qRRx7J0KFD\nmTRpUptr5XXq1Ilp06axZs0azjjjjO33f//732fu3Ll07dqV4447jmnTprV4rLPOOotRo0YxYMAA\nJk+ezKmnnrrD87vvvvuYP38+gwYNYvfdd+fCCy/kww8/BODhhx9m3333pXPnzlxxxRXcfvvt1NbW\ntv0f0s4sSmvmFIKZ+ay7mz/tWkSkFEyY2pXL1rX/lQWaM73nIPSemZsJU7tGaj06KQ1m1uxrLdOf\nQq8ArRE+yUk5rkVVKIpdOIpfOFqHLxz1Pyl1SvhEREREypwSPslJJdSx5ItiF47iF45q+MJR/5NS\np4RPREREpMwp4ZOcqI4lOMUuHMUvHNXwhaP+J6VOCZ+IiIhImVPCJzlRHUtwil04il84quELR/1P\nSp0urSYiItLO2loMWKTQlPBJTnQ90+Cyid2EqV0L1Jq0UlpQV30vHF1LN5xc+l8pva4KQa/daFDC\nJxIxhbyCgoiIVAbV8ElO9C0tOMUuHMUvHI3uhaP+F5xiFw1K+ERERETKnBI+yYnWogpOsQtH8QtH\n6/CFo/4XnGIXDUr4RERERMqcEj7JiWoxglPswlH8wlENXzjqf8EpdtGghE9ERESkzCnhk5yoFiM4\nxS4cxS8c1fCFo/4XnGIXDUr4RERERMqcEj7JiWoxglPswlH8wlENXzjqf8EpdtGghE9ERESkzCnh\nk5yoFiM4xS4cxS8c1fCFo/4XnGIXDUr4RERERMqcEj7JiWoxglPswlH8wlENXzjqf8EpdtGghE9E\nRESkzCnhk5yoFiM4xS4cxS8c1fCFo/4XnGIXDUr4RERERMqcEj7JiWoxglPswlH8wlENXzjqf8Ep\ndtGghE9ERESkzCnhk5yoFiM4xS4cxS8c1fCFo/4XnGIXDUr4RERERMqcEj7JiWoxglPswlH8wlEN\nXzjqf8EpdtGghE9ERESkzCnhk5yoFiM4xS4cxS8c1fCFo/4XnGIXDUr4RERERMqcEj7JiWoxglPs\nwlH8wlENXzjqf8EpdtGghE9ERESkzCnhk5yoFiM4xS4cxS8c1fCFo/4XnGIXDUr4RERERMqcEj7J\niWoxglPswlH8wlENXzjqf8EpdtGghE9ERESkzCnhk5yoFiM4xS4cxS8c1fCFo/4XnGIXDUr4RERE\nRMqcEj7JiWoxglPswlH8wlENXzjqf8EpdtGghE9ERESkzCnhk5yoFiM4xS4cxS8c1fCFo/4XnGIX\nDUr4RERERMqcEj7JiWoxglPswlH8wlENXzjqf8EpdtGghE9ERESkzCnhk5yoFiM4xS4cxS8c1fCF\no/4XnGIXDUr4RERERMqcEj7JiWoxglPswlH8wlENXzjqf8EpdtGQ14TPzCab2RIze9XM/quFbX6V\n+fsCMxvT1r5mdrWZLc5sf5eZdW30t29ltl9iZsfk87mJiIiIlIp4vg5sZjHg18BRwBpgjpnd6+6L\nG20zBRjs7kPM7CDgd8D4NvZ9BPgvd0+Z2Y+BbwHfNLN9gFOAfYDewAwzG+ruqXw9x0o0d9FMfVsL\nSLH7tzfeTnH/nARb65z6BNQlnLoE239P/0vmPscMxvR6jktPnkhttRW7+SVp9azZGuULQa/f4BS7\naMhbwgccCCx39zcAzOx24ARgcaNtjgduAHD358ysm5n1AAa2tK+7P9po/+eAaZnfTwBuc/d64A0z\nW55pgyqVRSJiW71z8+P1/GNWPVMPrqbnLlVUx6EmbtTEyfwO1ZnbDb9v3upMvyPFGT/9mPOPqebT\n4+LEqpT4iYhkK58JX29gVaPbq4GDstimN9Ari30Bzgduy/zeix2Tu4ZjSTvSt7TgKj12815LcvWd\n2xiwRxV/vqIje3TLraLk99+YxMLXk/z+gTpue6qeCyfXcOiIGGZK/LKh0b1wKv31G4ZiFw35TPg8\ny+0CvVub2ZVAnbvf2g5tEJE82bjZ+e39dbywLMnlU2s4fN/gbzsjB8b4zSUdeHZJkmsfqOPWJ42L\nptQwelCsHVssIlJ+8pnwrQH6Nrrdl/SoW2vb9MlsU93avmZ2LjAFmNTGsdY017Af/vJieu7RH4Cd\nd+rC0IEjt38DaVgvSLebv337vb9RvALebrwWVUvbw461Vg1rp+Xrdj6fr7vzh388xd3PJjjmkMO4\n8esdWfrqM8xdFD5+E/Y7jIP2jvHHfzzF9/6QYO8hh3Lh5Go2rZ+Vt+cTpdsNcvn/brwOX679pUFU\nnn9UX7+63XJ/bRzDYrcn6rcB5r70DOveWUl7Mvf8DIKZWRxYSjopWws8D5zWzEkbl7r7FDMbD1zj\n7uNb29fMJgM/A45w9/caHWsf4FbSdXu9gRmkTwjZ4Qmamc+6e2NennMlUPFtcNnEbsLUrly2bkVB\n2jO95yDy9VpY816Kn/2jjvWbnG98voYR/cKPwLUUv7qEc+/sBDc9Vs/YwVV88dM19O5e3itOBekn\nQU/ayGc/KSV67wtOsQtnwtSuuHvo2pW8jfC5e8LMLgUeBmLAnzIJ20WZv1/r7g+Y2ZTMCRabgfNa\n2zdz6OlADfBopnbnWXe/xN1fMbM7gFeABHBJ02RPwtOLNrhKiF0i6dz+VD23P1XPaROrOeXwauKx\n9qmxayl+NXHj84dWM2X/OH+dWc+F0z/moik1HH9Qdbs8brlQDV84lfD6zRfFLhryOaWLuz8IPNjk\nvmub3L40230z9w9p5fF+BPwoUGNFJJTX30px1S1b6d6lij98pSO9divsKFunDsZ5R9dw9Jg4l/9+\nK/EqmHKAkj4REdCVNiRHuiZicOUcuw0fOd/401amHVLN//tibV6SvWzj16d7FT+/sAPXPVTPI3MT\n7d6OUqVr6YZTzq/ffFPsokEJn4iEUp9wvnvjVj49Ls7x46sjsUxK/z2q+PkFHfjNfXU8sUBJn4iI\nEj7JiWoxgivX2P3q3jp26mB84Zj8Tp/mGr+BPar42RdruebuOma+pKRPNXzhlOvrtxAUu2hQwici\ngd37XD3zXkvy3dNqqYrglS8G94rx0y/UcvWd23h2sZI+EalcSvgkJ6rFCK7cYrfw9STXPVjHj87t\nwM4d85/sBY3f3n1i/N95HfjRX7fx/NLKTfpUwxdOub1+C0mxiwYlfCKSs3c+SPG9m7fx7VNq6bd7\n9N9GRvSL8b/ndOCHt21j7vJksZsjIlJw0X+nlkhRLUZw5RK7bfXOlTds46RD4xw8PK8rO+0gbPxG\nDozx32d14Ps3b2Xh65WX9KmGL5xyef0Wg2IXDUr4RCRr7s5P/76N3t2N0yeW3hp3Y/aK8b3TO3Dl\nDVt5+c3KS/pEpHIp4ZOcqBYjuHKI3V+fTvD62843T6ot+PIr7RW/A4bG+PYptXzrL1tZurpykj7V\n8IVTDq/fYlHsokEJn4hkZc6yJLc9Vc+PzqmlQ030zsjNxcHD43xjWi3/+adtLF9bOUmfiFQuJXyS\nE9ViBFfKsVvzXoof3raVq86opccuxXnbaO/4HbZvnMuOr+E7N25jy7byv+y2avjCKeXXb7EpdtGg\nhE9EWrVlq/Ot67dy3tE1jNkrVuzmtKujxsQZNSjG9Hvrit0UEZG8UsInOVEtRnClGLtUyvnfv25j\nRP8YUw8u3Bm5zclX/L5yfA0vLk/yzMvlvUafavjCKcXXb1QodtGghE9EWnTzE/Ws3+RccWJNJK6R\nmw87dTC+c2otV99Zx/pN5T+1KyKVSQmf5ES1GMGVWuze2pDir0/X84Mza6mJFz/Zy2f8Rg6MMeWA\nOD/9+zbcyzPpUw1fOKX2+o0SxS4alPCJSLP+8GAd0w6pZo9ulfE2cf7R1byz0fnn8+U9tSsilaky\n3sml3agWI7hSit2SVUnmvZbi1COis7hyvuNXHTe+e1otf3igjtXvpfL6WMWgGr5wSun1GzWKXTQo\n4RORHbg7v7mvjvOPqaZTbfGncgtp4J5VnHNUDf9z2zYSyfKc2hWRyqSET3KiWozgSiV2/3olyYdb\nnCkHFPes3KYKFb9ph8TpWAu3PFFfkMcrFNXwhVMqr98oUuyiQQmfiGyXSDq/u7+OS46tIVZVWaN7\nDaqqjG+dXMud/6pnySpdhUNEyoMSPsmJajGCK4XY/fO5BHt2Mw7cO3oLLBcyfnt0q+LyE2r54W3b\n2FpXHlO7quELpxRev1Gl2EWDEj4RAeCjj53rH63nks+W75p7uZg0Os7efar43f26CoeIlD4lfJIT\n1WIEF/XY3fJkPeOHxxjcK3qje1Cc+F1xYi3/eiXJc0tKf6kW1fCFE/XXb5QpdtGghE9EeHtDintn\n1/PFT0dnGZYo6NzR+PYptfz4b3Vs3FweU7siUpmU8ElOVIsRXJRjd91D9Zw4oZrdu0b3LaFY8Rs7\nOMak0TGuvrO0r8KhGr5wovz6jTrFLhqi++4uIgWxdHWSF5YnOT1CiyxHzQWTa1j1boqHXyz9qV0R\nqUxK+CQnqsUILoqx277I8tHVdOoQ7RM1ihm/2ur0VTh+fV8dH5To1K5q+MKJ4uu3VCh20aCET6SC\nzVqcZMNH0VtkOYoG94oxaXScPz+ss3ZFpPQo4ZOcqBYjuOjFLs5v70svshyPRXt0D6IRv/OPruGJ\nhQlWvFV619pVDV84Ueh/pUqxiwYlfCIVyrqezu5djfHDorkMSxR13ck456gapt9b2idwiEjlUcIn\nOVEtRnBRil3dZrBd/4Mvl9Aiy1GJ39SD47y70Zm1uLQuu6YavnCi0v9KkWIXDSrcEalAc2+N41ue\nYEjv84vdlJITjxmXHVfDNffUceDQGNVxY8LUrsVulohIq5TwSU7mLpqpb2sBRSV2m96Gl++J4e//\nFCidhC8q8QM4aFicPv9KcOe/EpyaWc7msnUrCvb403sOynmf1bNma5QvhCj1v1Kj2EWDpnRFKszz\nf6xm3xOSkFhX7KaUtMuOq+HmJ+rY8JFq+UQk+pTwSU70LS24KMRu41pj5ewqxpxeegsIRyF+jfXb\no4pjxsb540OlsUyLRvfCiVr/KyWKXTQo4ROpIIvujDH82CQ1OxW7JeXhvKNqmPlyAmr2KXZTRERa\npYRPcqJGGDr2AAAgAElEQVT1lIIrduzqNsPSh2Pse2Lpje5B8ePXnM6djPOOrqFq96uI+iotWocv\nnCj2v1Kh2EWDEj6RCrH4gRh9xqXovGexW1JejjsoDrHdeH2m3k5FJLr0DiU5US1GcMWMXSqZns4d\ndVJpju5BdPtePGak3r2KWb+Nk4xwOZ9q+MKJav8rBYpdNCjhE6kAK5+tokNX2HNExOcdS9XHM9l1\noLPw77pqiYhEkxI+yYlqMYIrZuwW/i3GyM8nKJGLajQr6n1vwiUJ5t0WZ8v6YrekearhCyfq/S/K\nFLtoUMInUubee834YFUVe01MFbspZa1bX2fvyUmeu07r2YtI9Cjhk5yoFiO4YsVu4d/SZ+bGqovy\n8O2mFPre/uckeOPZGO8ui95Qqmr4wimF/hdVil00KOETKWNbNsDrT8fY57hksZtSEWp3hgPPT/Cv\n6dWRX6ZFRCqLEj7JiWoxgitG7F65N8agiUk6div4Q7e7Uul7w49Nsu0jWPFUtN5eVcMXTqn0vyhS\n7KIhWu9IItJukvXw0j/ijPy8RvcKqSoGh16WYNZv4yS2Fbs1IiJpSvgkJ6rFCK7QsVv+RBW7Dkyx\n26DymFsspb7Xe2yKXQc6r9wXnWVaVMMXTin1v6hR7KJBCZ9IGXKHhXfEGXmSRveK5cDzE8y9OU79\n1mK3RERECZ/kSLUYwRUydm8tMuo2Q//x5bMUS6n1vd33dvbcJ8XL90RjlE81fOGUWv+LEsUuGpTw\niZShhX+Ps9/nk5he4UV14PnpxZjrtxS7JSJS6fRxIDlRLUZwhYrdprdg9dwqhn2mvKZzS7Hv7baX\n03t0ikV3FX+UTzV84ZRi/4sKxS4alPCJlJlFd8UZNjlJTadit0QADjgvwYI74tRtLnZLRKSSKeGT\nnKgWI7hCxK5+Cyx+IMZ+nyuv0T0o3b63S3+n70EpFvytuKN8quELp1T7XxQodtGghE+kjCx9OEav\nUSm69CqPpVjKxQHnJFh0Z5ytm4rdEhGpVEr4JCeqxQgu37HzFCz8e4xRJyXy+jjFUsp9r2sfZ8Ah\nSRbcHi9aG1TDF04p979iU+yiQQmfSJl487kq4h2g5yiN7kXR/uckeemeGB9/UOyWiEglUsInOVEt\nRnD5jt3Cv8cY+fkEZnl9mKIp9b7Xpacz+FNJ5t9WnFE+1fCFU+r9r5gUu2hQwidSBta/brz3WhVD\nJpXPQsvlaNxZCV65P8aW9cVuiYhUGiV8khPVYgSXz9gt/HuMEccnidXk7SGKrhz63s57wNCjk8y9\npfCjfKrhC6cc+l+xKHbRoIRPpMRt3QivPRFj3xPK82SNcjPuzARLH47x0bvFbomIVBIlfJIT1WIE\nl6/YLZsRo9/4FJ12y8vhI6Nc+l6n3WD4lCRzbyrsKJ9q+MIpl/5XDIpdNCjhEylxSx+Mld1l1Mrd\nmNMTvPp4jE1vFbslIlIplPBJTlSLEVw+Yvfea8aWDUbvseV/skY59b2O3WDE8UleuLFwo3yq4Qun\nnPpfoSl20aCET6SELX0wxt6Tk1QV96pdEsDoUxO8PjPGxjVluo6OiESKEj7JiWoxgmvv2CUTsOzR\nGMMmV8Z0brn1vQ5dYN8Tk7xwQ2FG+VTDF0659b9CUuyiQQmfSIl6c3YVXXs73frqyhqlatTJCVY+\nW8WGNzXKJyL5pYRPcqJajODaO3ZLHowxbEpljO5Befa92p3TSd8L1+d/lE81fOGUY/8rFMUuGtpM\n+Mzs52Y2ohCNEZHsfPwBrJlXxV4TKyfhK1cjpyVZ/WIV61/XKJ+I5E82I3yLgT+Y2fNmdrGZdc13\noyS6VIsRXHvG7tUZMfofnKJ253Y7ZOSVa9+r7pQe5Xsxz+vyqYYvnHLtf4Wg2EVDmwmfu1/n7ocA\nZwMDgEVmdquZfaqtfc1sspktMbNXzey/WtjmV5m/LzCzMW3ta2YnmdnLZpY0s7GN7h9gZh+b2bzM\nz2/bap9IqVqitffKyr5Tk6yaU8XG1RrlE5H8yOorpZnFgGHAcOBdYAHwH2Z2sbuf0so+vwaOAtYA\nc8zsXndf3GibKcBgdx9iZgcBvwPGt7HvIuBE4NpmHna5u49p5n5pJ6rFCK69YvfecmPrRqP3mPBr\n702YWtgB+1l3bwy8bzn3vZqd0mfszr0lxqf+Kz+XyFMNXzjl3P/yTbGLhjYTPjP7BXAc8Djwv+7+\nfOZPPzGzpa3seiDpBOyNzHFuB04gPUXc4HjgBgB3f87MuplZD2BgS/u6+5LMfdk+R5GysvShGHt/\nun3W3rts3YrwB8nS9J6DCvZYpWjk5xPccnot+5+boPOexW6NiJSbbGr4FgKj3P3CRsleg4Na2a83\nsKrR7dWZ+7LZplcW+zZnYGY690kzOzSL7SVHqsUIrj1i17D23t4VsvZeY+Xe9zp0geHHJpl/W35q\n+VTDF0659798UuyiIZuE7yx339z4DjN7DMDdP2hlv2wXB2uvobq1QN/MlO5/ALeaWed2OrZIJLz5\nbBVd+2jtvXI1+uQEyx6NsWV9sVsiIuWmxa+SZtYR6AR0N7NdG/2pC9mNtq0B+ja63Zf0SF1r2/TJ\nbFOdxb47cPc6oC7z+1wzew0YAsxtuu0Pf3kxPffoD8DOO3Vh6MCR22sMGr6J6Hbztxvui0p7Sun2\n2P0Oyyq+q2fN3l5v1TAq03B77l+ep8eIFOmKiU/+Peq38x2/Yt1uEDY+65fOpufeMRb89WAO/lKi\nxe2DPF6fCeMDt69BVOId1devbut2e9wGmPvSM6x7ZyXtydybHykws68Cl5OeXl3b6E+bgD+4+69b\nPbBZHFgKTMrs/zxwWjMnbVzq7lPMbDxwjbuPz3LfJ4Cvu/uLmdvdgQ3unjSzQcDTwL5NRyHNzMMU\njovk04SpXVusq/v4A7jl9FrO/ts2anYK/1jTew4qeA1fub72Wvt/y9Wmt+GOL9Ryxq3b6NCl+W0K\n+X9Xzv9vIqVgwtSuuHvo2dAWp3Td/Rp3H0g6qRrY6GdkW8leZv8EcCnwMPAK8Fd3X2xmF5nZRZlt\nHgBWmNly0mfdXtLavgBmdqKZrQLGA/eb2YOZhzwCWGBm84C/ARe1MeUsAagWI7iwsVv2aIwBE1Lt\nkuyVokrpe533hIGHJln49/at5VMNXziV0v/yQbGLhtamdI9098eBtWb2uaZ/d/e72jq4uz8IPNjk\nvmub3L40230z9/8D+Ecz998J3NlWm0RK1dKHYky4JD9Ldki0jD0jyV2X1DD61AQ1nYrdGhEpB619\nhTyC9FIsx9H8CRhtJnxSfrSeUnBhYvfeq+239l6pqqS+162v0/eAFC/fHWPM6e1zRrbW4Qunkvpf\ne1PsoqHFhM/dv5/599yCtUZEmrXkofRSLJbNefVSFsaemeDe/6hhv2lJ4rXFbo2IlLo2Pz7M7HIz\n62JpfzKzuWb26UI0TqJHtRjBBY1dsh5efTTGsApce6+xSut7uw1yeuyT4pX72mGFbVTDF1al9b/2\npNhFQzbjBV9w9w+BY4BdSV9T98d5bZWIbPfm7Cq69XO69tHae5Vm7FkJ5t8WJ1lf7JaISKnLJuFr\nOBX4WOAmd38pj+2RiFMtRnBBY9cwnVvpKrHv7Tnc2aV/iqUPhx/lUw1fOJXY/9qLYhcN2SR8L5rZ\nI8AU4GEz6wJUbuW4SAF9/AGsmVfF4COV8FWqcWclmHtLjJRO0BaRELJZ6OkLwGjgNXffbGa7Aefl\nt1kSVY2vsiG5CRK7ZY/EGHBISktzULl9r9doZ6fdYPkTVQw9Ovh37cZXcMnVhKldAz9uEFFc6LlS\n+197UOyioc2EL3PlireBfTJXwDCyv06uiISw5KEYh3xZQzuVbtzZCWb9Js6QSXVFOVO70FdkEZH2\n12bCZ2Y/AU4hfcWLxvNKT+erURJd+pYWXK6xe+9VY9umyl57r7FK7nt9D0gRq4HXn6li0OHB+oNq\n+MKp5P4XlmIXDdlM6Z4I7O3u2/LdGBH5tyUPppdi0dp7Ypau5XvxpjgDD6srdnNEpARl81HyGlCT\n74ZIadB6SsHlErtkPbw6Q2fnNlbpfW/goSmSdbBqTrBvAFqHL5xK739hKHbRkM0I38fAfDN7DGgY\n5XN3/0r+miVS2VY2rL3XW+WyQRT6JINCsKr01TdevDGbt20RkR1l885xb+an4ZNHJ21UMNViBJdL\n7F59NMben9boXmO59r1yPNFg8KdSPP9noMNBOe+rGr5w9N4XnGIXDdmcpXu9mXUC+rn7kgK0SaSi\n1W1OT9sd8XVdXkF2VBWHsWckeWKZJlhEJDfZXEv3eGAe8FDm9hgzuzffDZNoUi1GcNnG7vV/VdFz\nVIoOXfLcoBKjvpe29zFJqNmbd5da2xs3ohq+cNT/glPsoiGb6t+rgIOADQDuPg/QQkkiefLqjBhD\ndGUNaUGsBvyDa5l7q2r5RCR72SR89e7+QZP7tDBYhVItRnBZxa5qF95aVMXAQ/USa0p979984y2s\nnVfFhjezH+VTDV846n/BKXbRkE3C97KZnQHEzWyImU0HZuW5XSIVyXaeQt8DU1TrUmrSGt/Cvicm\nmHdrrNgtEZESkU3CdxkwgvSSLLcBHwJfzWejJLpUixFcNrGzzlMZMknTuc1R39vRftOSvD4zxkfv\nZLe9avjCUf8LTrGLhjYTPnff7O7fdvf9Mz9XuvvWQjROpJK8tzEFtSPod5Cmc6VtHbrAsM8kmf9X\n1fKJSNtaTfjM7Fwzm2tmWzI/L5jZOYVqnESPajGCayt2jy9M4psfJl5boAaVGPW9Txp1SoKlD8X4\nuGmVdTNUwxeO+l9wil00tJjwZRK7y4GvAb2A3sB/Al8xs7ML0zyRyvHY/AS+6e5iN0NKyM67w14T\nkyy6U6N8ItK61kb4LgE+5+5PuPsH7r7B3R8HpgFfLkzzJGpUixFca7Fb+36Kte+nYMu/Ctii0qK+\n17wxpyV56e4YdVta3041fOGo/wWn2EVDawlfZ3d/vemd7v4G0DlvLRKpQDPmJ5g4Mg4kit0UKTFd\n+zh9xqV4+R6dsSsiLWst4WvtxAydtFGhVIsRXGuxe2x+gqNGa1quNep7LRt7RoIFd8RJbGt5G9Xw\nhaP+F5xiFw2tfcIMN7NFLfxtr3w0RqQSvf5Wio8+hv0GZLNKksgndR/idB+cYulDMUacoGV9ROST\nWvuEGQ4c18LPPvlvmkSRajGCayl2j81PcOSoGFVVuV0btdKo77Vu3FkJ5t0WI9VCVYBq+MJR/wtO\nsYuGFkf4MrV6IpJH7s6M+QmuOkNrsUg4PUc6O3WH156sYshRWstRRHakOSTJiWoxgmsudktWpzCD\nvfvopdgW9b22jT0jwdxb4rh/8m+q4QtH/S84xS4a9CkjUkSPzU8waXQcM03nSnj9xqfAYOVsvbWL\nyI7afFcws+PNTO8eAqgWI4ymsUulnMcXJJmks3Ozor7XNrPMKN9NnxzlUw1fOOp/wSl20ZBNIncK\nsNzMfmpmw/LdIJFKsfCNFF06GQP31PcpaT97TUzx8QZYt0CjxiLyb21+0rj7GcAYYAVwvZk9a2YX\nmpkWX65AqsUIrmnsZsxLMGm0FsvNlvpedqpiMOb0JHNv2XHkWDV84aj/BafYRUNWQwvuvhH4O/BX\n0tfVPRGYZ2ZfyWPbRMpWIuk8uSih6VzJi70/neT916p4d5lG+UQkLZsavhPM7B/Ak0A1cIC7fwYY\nCfxHfpsnUaNajOAax+7FV5P02a2KXrtqOjdb6nvZi9XAqJMTO4zyqYYvHPW/4BS7aMhmeOFzwC/c\n/enGd7r7FjP7Yn6aJVLeZszXyRqSX/scn57W/WCV0a1vM+u0iEhFyWZ44e2myZ6Z/QTA3WfkpVUS\nWarFCK4hdtvqnWdeSfCpUarfy4X6Xm5qOsG+JyaZd2u6n6mGLxz1v+AUu2jIJuE7upn7prR3Q0Qq\nxewlSYb2rqJ7F03nSn6NnJZgxdMxNr1d7JaISLG1+IljZl8ys0XA3ma2qNHPG8DCgrVQIkW1GME1\nxG7GfJ2sEYT6Xu46dIVhU5LMvz2uGr6Q1P+CU+yiobUhhluB44B7gc9mfj8OGJdZqkVEcrRlqzNn\nWZKJ+ynhk8IYfUqCZQ/H2PZhsVsiIsXUWsLn7v4G8GVgE/Bh5sfNbNcCtE0iSLUYwY3d7zBmvpxk\n5MAYXTppuYxcqe8Fs1N3GHxUknfeOLTYTSlp6n/BKXbR0FrCd1vm3xdb+BGRHD22IMFRms6VAhtz\nWpJX7ouxdVOxWyIixdJiwufux2b+HeDuA5v+FK6JEiWqxQhu5pynWfh6kkNH6OzcINT3guvS09mj\n/zMsulN9Lyj1v+AUu2hocajBzMa2tqO7z23/5oiUr/mvJzlwaIxOtZrOlcIbfFSK2X+JM/rkJNWd\nit0aESm01uaWfg60tlrnp9q5LVICVIsR3PL14/ncIZrODUp9L5zhJx7Em/NTvHRPjDGnJYvdnJKj\n/hecYhcNLX76uPvEArZDpKy9/2GKZWtTjB+mKTUpnnFnJbjvGzXs97kk8dpit0ZECqm1dfiOzPw7\nzcw+1/SncE2UKFEtRjBPLUoydNfZ1FZrOjco9b1wVs+aTffBzu57p1jygL545Er9LzjFLhpam186\nAnic9Np7zU3t3pWXFomUoccXJDhwsD5kpfjGnZXgkatqGH5ckpgqDEQqRmtTut/P/HtuwVojkada\njNy9uzHFirdS/PzCI4rdlJKmvhdOw7V0e4xwuvZOseyRGMOnqJYvW+p/wSl20dDmxTzNrLuZTTez\neWY218x+aWa7FaJxIuXgyYVJDtknTk1c07kSDfufnWTuzTFSyvdEKkY2V2+/HXgH+BzweeBd4K/5\nbJREl2oxcvf4ggSTRscUu5AUv3AaX0u315gUHbrCa09m8xEgoP4XhmIXDdm82nu4+w/d/XV3X+Hu\n/wPsme+GiZSDtzekWPVuiv2HqH5PosMMxp2dYO7Ncby1xbdEpGxkk/A9YmanmVlV5ucU4JF8N0yi\nSbUYuXliYZJD940Tj5liF5LiF05DDV+D/uNTWBWsnKVRvmyo/wWn2EVDa8uyfGRmm4ALgFuAuszP\nbcCFhWmeSGl7fEGCSaN0KqREjxmMPTPBizdplE+kErR2Ld2d3b1z5qfK3eOZnyp371zIRkp0qBYj\ne2vfT7FufYoxe6VfZopdOIpfOI1r+BoMOjzFto9gzVyN8rVF/S84xS4ashp6MLNdgCFAh4b73P3p\nfDVKpBw8sTDBEfulp3NFoqgqBmPPSPDCjTH6jEsVuzkikkfZLMtyAfA06bq9HwAPA1flt1kSVarF\nyN5jC5Ic2Wg6V7ELR/ELp2kNX4MhR6fYtM5Yt0hfTFqj/hecYhcN2YzjXw4cCLzh7p8CxgAb89oq\nkRK36t0U73/ojBqkqTKJtlgcxpyR5MWbVGsqUs6y+TTa6u4fA5hZB3dfAuyd32ZJVKkWIztPLEww\ncWSMWNW/R00Uu3AUv3Caq+FrMGxykveXV/HuMo3ytUT9LzjFLhqySfhWZWr47gYeNbN7gTfy2iqR\nEvfY/ARHjtSIiZSGeC2MOiW9Lp+IlKc2X93ufmLm16vM7EmgC/BQPhsl0aVajLa98XaKTR/DfgN2\n/D6l2IWj+IXTUg1fgxHHJ5l3a5z1bxi7DtA6LU2p/wWn2EVDVgVGZjbOzC4HRgKr3b0uv80SKV1P\nLEhP51ZVaXpMSkd1Rxh1coIXrtcon0g5yuYs3e8B1wO7At2Bv5jZd/PcLoko1WK0zt15bEHz07mK\nXTiKXzit1fA12O/EJGvmVbH+dX1ZaUr9LzjFLhqyGeE7EzjA3b/v7t8DxgNn5bdZIqVpxVvO1joY\n0V9n50rpqe4Eo09JMEejfCJlJ5tPpTVAx0a3OwCr89MciTrVYrTu8QUJPjUqjtknR0gUu3AUv3Da\nquFrsO+JSdbOr+L9FRrla0z9LzjFLhpau5budDObTnrNvZfN7Hozux54Ca3DJ/IJ7s7jCxIcOSpW\n7KaIBFbdEUafqlo+kXLT2gjfi8ALwD+AbwNPZH6uJL1Ei1Qg1WK07NW1KVIpGNan+ZeVYheO4hdO\nNjV8DfadmmTtwiref02jfA3U/4JT7KKhxa9w7n59w+9mVgsMzdxc4u71eW6XSMl5fEGyxelckVJS\n3RHGnKpaPpFyks1ZuhOBZcBvMj+vmtkReW6XRJRqMZqXzXSuYheO4hdOtjV8DUackOStRVVQMzxP\nLSot6n/BKXbRkM3Xt58Dx7j7UgAzGwrcDozNZ8NESsmS1SliVTCkl87OlfJQ3RFGn5bgX2/+R7Gb\nIiLtIJtPp3hDsgfg7svILlHEzCab2RIze9XM/quFbX6V+fsCMxvT1r5mdpKZvWxmSTMb2+RY38ps\nv8TMjsmmjZIb1WI07/H5CSa1MZ2r2IWj+IWTSw1fgxEnJKHD/rz3qsoU1P+CU+yiIZuE70Uz+6OZ\nTTSzT5nZH0mfzNEqM4sBvwYmA/sAp5nZ8CbbTAEGu/sQ4ELgd1nsuwg4EXi6ybH2AU7JbD8Z+K2Z\nabhF8s7deXxhkiNHq95Jykt1B/ANv1Utn0gZyCYhuhhYDHwFuAx4GfhSFvsdCCx39zcyJ3ncDpzQ\nZJvjgRsA3P05oJuZ9WhtX3dfkhllbOoE4DZ3r3f3N4DlmeNIO1Itxie9vDJFxxoYuGfroyCKXTiK\nXzi51vA18I038fYrVRU/yqf+F5xiFw2tJnxmFgcWuPvP3P1zmZ9fuPu2LI7dG1jV6PbqzH3ZbNMr\ni32b6sWOC0Jns49IaI8vaHs6V6Rk+VbGnJZgzl80yidSylpN+Nw9ASw1s/4Bju1ZbpfPT8ls2yBZ\nUi3GjlIp54mF6eVY2qLYhaP4hROkhq/BiBOSvLOkineXVe6XGvW/4BS7aMjmK9uupK+08TywOXOf\nu/vxbey3Bujb6HZfPnlJtqbb9MlsU53Fvm09Xp/MfZ/ww19eTM890jnszjt1YejAkduHnBs6pm43\nf3vZ6wsj1Z5i375zxtPE6+oZsOdR7XI8SH8wN0y/NXxIl8vtQv3/NI5lIZ5fuT9evBbGnJ7g6R/N\n4aALEwV7fsV+fet2+74eo9KeqN8GmPvSM6x7ZyXtydxbHwRrtOZe46927u5PtbFfHFgKTALWAs8D\np7n74kbbTAEudfcpZjYeuMbdx2e57xPA1939xcztfYBbSdft9QZmkD4hZIcnaGY+625dGU7axy/+\nsY3duhhnT6ppl+NNmNqVy9ataJdjtWV6z0EFe6yGxyvUa6+QcYTixLLQ/SSxDW45rZYp/1fH7nvn\nb/KkkP1EpBRMmNoVdw89vN7atXQ7mtkVwMnAMOBf7v5k5qfVZA+2TwdfCjwMvAL81d0Xm9lFZnZR\nZpsHgBVmthy4FriktX0z7TrRzFYB44H7zezBzD6vAHdktn8QuKRpsifSnpIp58mFST41UrVNUv7i\ntTDmDNXyiZSq1mr4bgDGAQuBKcD/y/Xg7v6gu+/t7oPd/f8y913r7tc22ubSzN9Hufvc1vbN3P8P\nd+/r7h3dvYe7f6bR336U2X6Yuz+ca3ulbarF+Ld5y1Ps3s3ou3t2q/8oduEofuGEqeFrsM9nk7z7\nahXvLKm8Wj71v+AUu2ho7ZNquLufmUnOpgGHF6hNIiVhxvwER2ntPakg8VoYe7qusStSilpL+BIN\nv2SmWEW0nlLGtnrn6ZcSTBrd8rVzm1LswlH8wgm6Dl9Twz+b5L1Xq3h7cWWN8qn/BafYRUNrCd9I\nM9vU8APs1+j2h4VqoEgUPbckyeBeVezeVRdzkcoSr4VxZ6qWT6TUtPhp5e4xd+/c6Cfe6PcuhWyk\nRIdqMdJmzE9w1JjcPvAUu3AUv3Dao4avwfBjk7z/WhVvv1I5o3zqf8EpdtGg4QmRHG3e6jy/LMnE\n/TTCIZUpVgMHnJtg9rVxtBaCSGlQwic5US0GzHwpwehBMbp0ym10Q7ELR/ELp71q+BoM+0ySze8b\nq+ZUxseI+l9wil00VMYrVaQdzZifzHk6V6TcVMXhoAsSPPv7OJ4qdmtEpC1K+CQnlV6LseEj5+WV\nSQ7ZJ/uzcxtUeuzCUvzCac8avgaDDk8Rr4FXZ5T/R4n6X3CKXTSU/6tUpB09uTDBwcNjdKypnGJ1\nkZaYwfiL63n+T3GSdcVujYi0Rgmf5KTSazEenZdgUsDFlis9dmEpfuG0dw1fg96jnW79nZfvzX3U\nu5So/wWn2EWDEj6RLL21IcWb76Q4cGh5f7CJ5Gr8RQlevClO3eZit0REWqKET3JSybUYj81PMHFk\nnOp4sOncSo5de1D8wslHDV+D7ns5fQ9MMf+v5Xsyk/pfcIpdNCjhE8nSo/OSgadzRcrdgecnWHRX\njC3vF7slItIcJXySk0qtxXj9rRQfbnFGDQz+kqnU2LUXxS+cfNXwNejS0xk2OckLN5TnlyL1v+AU\nu2hQwieShRnzE0waFaOqSmfnirRk7JkJlj8RY+NqvU5EokYJn+SkEmsx3J0Z83K/dm5TlRi79qT4\nhZPPGr4GHbvByJMSPPfH8hvlU/8LTrGLBiV8Im14ZVWKeAyG9tbLRaQto05Ksm5hFe8s1SifSJTo\nE0xyUom1GDPmJThqdByzcB9glRi79qT4hZPvGr4G1R1h3DkJZl9bXqN86n/BKXbRoIRPpBWJpPP4\n/CSTdO1ckawNPzbJpreMVXP0ESMSFXo1Sk4qrRZj/mspdu9m9Ns9/Eul0mLX3hS/cApRw9cgFoeD\nLkiP8nmqYA+bV+p/wSl20aCET6QVj85PT+eKSG72mpjCqmD5E/qYEYkCvRIlJ5VUi7Gt3pn5UoJJ\no9vnUmqVFLt8UPzCKVQNXwMzOPjiBM9dFydZX9CHzgv1v+AUu2hQwifSgueWJBncq4rdu+plIhJE\n77EpuvZxXvmnrj8tUmz6JJOcVFItxqPzw6+911glxS4fFL9wClnD19jBFyV48cY4dVuK8vDtRv0v\nON5nSe4AACAASURBVMUuGpTwiTRj81ZnzrIkE/dT/Z5IGN2HOL3HpZh/u15LIsWkhE9yUim1GDNf\nSjB6UIwundpv8dhKiV2+KH7hFLqGr7HxF9Tz0j9ibHqraE0ITf0vOMUuGpTwiTTj0XnJdp3OFalk\nnXvAftMSzPptdbGbIlKxlPBJTiqhFmPDR84rbyY5ZJ/2LTSvhNjlk+IXTrFq+BqMOS3JO0uM1S+W\n5seO+l9wil00lOYrTySPnliQ4ODhMTrW6FqgIu0lXgsTvpzgmV/FSSaK3RqRyqOET3JSCbUYj85L\nMCkPiy1XQuzySfELp5g1fA0GHZ6i067Oy3eX3jIt6n/BKXbRoCIlkUbWrU+x6t0UBw4tvQ+kUjBh\natdiN0GKyAwOvTzB3ZfVMOSoJB27FbtFIpVDCZ/kZO6imWX9be2hFxMcOSpOdbz9p3PLPXbZuGzd\nisD7rp41O+tRquk9BwV+nHKVS/zyadcBztBjksz+Q5xP/WfpzO3q9RucYhcNmtIVyUilnAfnJDj2\nQH0PEsmnA85NsHJWjHeWqE5WpFCU8ElOyvlb2rwVKTp1MIb2zs/LopxjVwhRGJ0qZVGKX21nOOiC\nBDN/WY2nit2a7Oj1G5xiFw1K+EQy7n++nmMPiGOmUQeRfBv2mSSpJCx9RB9DIoWguSvJSbnWYmz6\n2Hl2cZKvnFC7w/06ySA6olKDVqqiFj+rgsO/Ws+DV9Yw6LBt1OxU7Ba1rlzf+wpBsYsGJXwiwOPz\nE+w/NEa3nT45uhfmRIPGsvnA1ckGUkn23Mfpd2CSF26MM+FLpXMCh0gp0li65KRcv6XdPyfBlP3z\n+/0nSqMrpUjxCyeq8Rt/YYIlD8TY8Ga0SynK9b2vEBS7aFDCJxVvxVsp3t3oHKC190QKrtNuMPaM\nBP+aHse92K0RKV9K+CQn5XhNxAfm1DN5/zjxWH5HGIp9LdNSp/iFE+X47TctyYfrjJWzovuRVI7v\nfYWi2EVDdF9dIgWQSDqPzM3/dK6ItCxWDYd+JcEzv46D1ba9g4jkTAmf5KTcajFmLU7Sb/cq+u6e\n/5dCVGuoSoXiF07U49fvwBS7DXSs24XFbkqzyu29r5AUu2hQwicV7YE5CT5zgEb3RKJgwqUJbJeL\neOeDElmNWaSEKOGTnJRTLcZ7H6ZY8HqST40sTMIX5RqqUqD4hVMK8evay/EPbuA399UVuymfUE7v\nfYWm2EWDEj6pWA+/mOCIfeN0qo32chAilcQ3/Jolq1LMWqx1+UTakxI+yUm51GK4Ow/MSTClgNO5\nUa+hijrFL5ySiZ9/zH+eVMvP7qzjo4+js05Lubz3FYNiFw1K+KQivbwyhQP7DdBLQCRqxg2OcdCw\nGL+7P3pTuyKlSp92kpNyqcVouLKGWeGmc0uhhirKFL9wSi1+lxxbw+wlSV5cnix2U4Dyee8rBsUu\nGpTwScX5uM55clGCyeN0dq5IVO3c0fjatBp++rdtfFwXnaldkVKlhE9yUg61GE8uTLDfgBjduxa2\n+5dMDVVEKX7hlGL8JgyPM6J/Fdc9VPyp3XJ47ysWxS4alPBJxXlgToJjtfaeSEn4ygm1PDY/yUtv\nRGNqV6RUKeGTnJR6Lcbq91K88XaKCcNjhX/sEquhihrFL5xSjV+3nYyvnlDDj/+2jbpE8aZ2S/29\nr5gUu2hQwicV5cEXEhw9Nk51XGvviZSKiSNj9N+jihtm1Be7KSIlSwmf5KSUazGSKefBFxIce0B1\nUR6/FGuookTxC6eU42dmXHFiDffOrmfZmuJM7Zbye1+xKXbRoEImqRgvLEuyW2djr576niMSZROm\ndm32fut8Muf/+IukVk0B2udKHLPu3tguxxGJOiV8kpO5i2aW7Le1B14o7JU1mlo9a3ZJj7IUm+IX\nTinF77J1K5q93x3u+0Y1vUa9xrizwo/0Te85KOttS/m9r9gUu2jQUIdUhI2bneeXJjlqjL7jiJQq\nM5j4jXoW3BFn/RuqwxXJhRI+yUmpfkt7dF6C8cNidO5YvA+JUhldiSrFL5xyiV/nPeHA8xM88ZNq\nUgUs5yvV974oUOyiQQmfVIT02nvFOVlDRNrXiBOSxOKw6M7CL68kUqqU8ElOSnE9pWVrkny4xRk7\nuLjdvVTXQYsKxS+ccoqfVcHE/6znxZvibFxbmFH7UnzviwrFLhqU8EnZu+fZ9JU1qqpU8yNSLrr1\ndcacnuDJn8TxVLFbIxJ9SvgkJ6VWi7Fxs/P4wgQnHFz86dxyqaEqFsUvnHKM36iTkyTqjAV35H9q\nt9Te+6JEsYsGJXxS1u6ZXc9hI+Ls2lmjeyLlpioGR3+vnnm3xnn7Fb3GRVqjhE9yUkq1GPUJ5x+z\nEpx8WDSWYimnGqpiUPzCKdf4denpHP61eh79QTXbNuXvcUrpvS9qFLtoUMInZevxBUn67WEM7qUz\n+UTK2V5HpOg3PsWTV1fjXuzWiESTEj7JSanUYrg7d8ys5+TDil+716Aca6gKSfELp9zjN+GSBBvX\nGC/fm58veKXy3hdFil00KOGTsrTw9RRbtjkHD9PonkgliNfCMVfV8/wf47z3mur5RJpSwic5KZVa\njDtm1nPS/2/vvuOkqq//j7/OlC10EFmqCKIo9hJELIlojC2W2NKjJJFoMDFVTPlqfmmoMWowGhOi\nUZPYojEajVETu1GJoIIFVAQBKdLLtinn98fc1ZGwyw53Z/fOzPv5ePDYmTv3zr3zZvfOmTvnfu4h\nyUgNxVKuPVSdRfmFUwn59RnmHDw5xYMXJUk1dOxzl8q+L4qUXTSo4JOy886qLC/Oz3D0AdE4WUNE\nOs/oj2WpG+M8caX+/kXyFfUvwsyOBq4E4sB0d79kC/P8CjgGqAfOdPdZbS1rZv2A24DhwALgdHdf\na2Y7Aq8CrwVP/R93P7doL65CbakXY/xJvTt9O56+e12rj/3lyRTHjU3SrTo6R/eg/Huoik35hVNJ\n+R12foo7zq5i7j9jjP5Yx4zKrD60bafsoqFoBZ+ZxYGrgSOBJcAMM7vH3V/Nm+dYYJS772xmBwLX\nAuO2suwU4CF3v9TMLgjuTwme8g1337dYr0lad97S+Z22rmmDRrb62MYG54Hn09zwzdpO2x4RiZZk\nNzjqRynuOb+KAbs103cHnborUsyvdMeSK8AWuHsKuBU4cbN5TgBuBHD3Z4E+ZjZwK8u+t0zw86Qi\nvgbZTNR7Me6bkeZDu8Sp6xO9boVK6KEqJuUXTqXl138nZ+yX0jx4cZJ0U/jni/q+L8qUXTQU811x\nCLAo7/7iYFp75hncxrJ17r48uL0cqMubb4SZzTKzR83skJDbLyUmk3XufDLF6YdFZygWEek6u5+Q\noc9Q5+lr1M8nUsyCr73H0NvTaGVbej5397zp7wDDgq90vwn82cx6tnMbpJ2i3IvxxJwM2/Uydt8h\nmkOxVFIPVTEov3AqMT8z+Mh3Urz9TIw3Hw33dhflfV/UKbtoKObHniXAsLz7w8gdqWtrnqHBPMkt\nTF8S3F5uZgPdfZmZDQJWALh7M9Ac3J5pZm8COwMzN9+wH1/1FQYNGA5Aj+692GXEXu/9QrYcetb9\nwu63aPnaqOXNpVj3W+Rvz+1PpDhg6LPMnB3vsNfXss5iv578N+POXF+53s/PUuvT+j560UHcP6WK\nzIbH6badf+DvbebsJ7p8/6n7up9/H2DmnCdZumIhHcm8SNehMbMEMBc4gtzRt+eAT23hpI3J7n6s\nmY0DrnT3cW0ta2aXAqvc/RIzmwL0cfcpZtYfWOPuGTMbCTwO7OHuazfbLm/rDE9pW/7OscX4k3p3\n+kkbm/8fvrooww9vauLWKbUk4h13dm5Hvrb8Qq410waN7LQsO3NdHbG+9uTXUesqVCmsr5D8wq4r\njGKtb9YtceY/Huekac3EE++vq73vB1va90n7KLtwxp/UG3cP/cZWtK903T0NTAb+CbwC3BYUbJPM\nbFIwz/3AfDN7A7gOOLetZYOnngp81MzmAROC+wCHAS+a2SzgDmDS5sWelK/bH09xysHJDi32RKR8\n7HNGhppezpO/Suh6u1KRitrJ6u7/AP6x2bTrNrs/ub3LBtNXkxuuZfPpdwF3hdle2boofkpbsTbL\ns3MzfPMT1V29KW2qxB6qjqT8wqn0/CwGR/4wxV3nVjH7zjh7nZopaPko7vtKhbKLBp26JCXvrqfT\nHLVfgp61OronIq2r7gHHTc0Vfb2G6DCfVJboDVYmkRa18ZQamp2/P5fi1EOiPxRLpY2D1tGUXzjK\nL6fXYOfonzTz758loWq3di8XtX1fKVF20aCCT0raA/9Ns+fwOEP761dZRNpn4B7OoV9PERt8IyvX\nd8yl10SiTu+SUpAo9WJks84dJTTQcqX3UIWl/MJRfh+085FZfP0tfO8PTTQ2b/3r3Sjt+0qNsosG\nFXxSsp6dm6EmaewzUr/GIlI4X30FQ/sbP72tiWxWPX1S3vROKQWJUi/G7U+kOP3QBGalcbKGeqjC\nUX7hKL8tu+C0alauc6b/M9XmfFHa95UaZRcNKvikJL25NMv8Zc6EfXSiuYhsu+qk8bMza/jXC2nu\nn9F20SdSylTwSUGi0otx+xMpTj4oQVWiNI7ugXqowlJ+4Si/1vXtYVwysYZr72tm1ptbHp8vKvu+\nUqTsokEFn5Se5CieejnNJw4ujZM1RCT6dqyLcdGna7j4j00seldn7kr5UcEnBYlCL0as/wV86iNJ\nenUrnaN7oB6qsJRfOMpv6w7YJc4XP5bkghsaWV//wZM4orDvK1XKLhpU8ElJWfayQfW+JTHQsoiU\nnhPGJRm/W5wf3NRIKq0zd6V8qOCTgnRlL4Y7PPObJL76l1QnS+voHqiHKizlF47ya79zjquie7Ux\n9Y4mMsFwLepD23bKLhpU8EnJePuZGPVrwNff1tWbIiJlLB4zLvpMbriWS+5o1hh9UhZU8ElBuqoX\nI5uB/1yXYNykNLDls+iiTj1U4Si/cJRfYWqqjKkTa1i6Osuldzbz35ce7+pNKlnq4YsGFXxSEuY9\nFCNZCyMO0dlzItI5aqtyw7UsfjfL7Y+ndaRPSppGrZWCdEUvRroJZlyf5IjvN9NyUY3xJ/Xu9O0I\nSz1U4Si/cJTftulWbVw6sYZv//4grri7mW+eXFUyV/eJCvXwRYMKPom8l/8Wp9/ILIP3fv/T9XlL\n53fKuqcNGtkp6xGR6OpWY1z2xRq+Pb2RK+9u5vyTVPRJ6dFXulKQzu7FaNoIM/+YYNzZ6U5dbzGo\nhyoc5ReO8gtn7utPctkXa3h1UZZf3dOMu77ebS/18EWDCj6JtBduSTD8oAzbjdTOVUS6Vo9a4/Iv\n1zBnQZZp96rok9Kigk8K0pm9GJtWwpy/xfnQxNI/ugfqoQpL+YWj/MJp2ff1rDV++eUaXpyf5Zq/\nq+hrD/XwRYMKPomsGX9IsOsxGXrWdfWWiIi8r2c344qza3j+jSy/uT+lok9Kggo+KUhn9WKseduY\n/1ic/T9bHkf3QD1UYSm/cJRfOJvv+3oFRd9zczP89gEVfW1RD180qOCTSHpueoJ9zkhTU3qjr4hI\nhejd3bhiUg1Pv5Lmdyr6JOJU8ElBOqMXY/krxrKXY+x5amleUaM16qEKR/mFo/zCaW3f16e7ceWk\nWp6bl+FntzWTSqvo25x6+KJBBZ9Eijv85zdJPnRmmmRNV2+NiMjW9e1hTDunho2NzremN7KhXkWf\nRI8KPilIsXsx3n42Rv1q2PWY8jq6B+qhCkv5haP8wtnavq+2yvjJ56vZZUiMr1zdwDurdBnIFurh\niwYVfBIZnoVnrssNshzTNWBEpMTEY8bkj1dz6iFJzvl1I7MXlN8HVyldKvikIMXsxZj3cIxEDYw4\ntDw/GauHKhzlF47yC6eQfd/J45NMOa2KC//QyL9eKJ+RBraVeviiQQWfREKqHp6bnuSgSSl0iUoR\nKXUH7ZbgyrNruOa+Zm76lwZolq6ngk8KUqxejKd+nWDwPlkG71O+O0X1UIWj/MJRfuFsy75v1OA4\n102u4dHZGabeUbln8KqHLxpU8EmXW/BUjEUzYhz69VRXb4qISIfq3zvG1efUsG6T822dwStdSAWf\nFKSjezHq18CjlyU54vspqrp36FNHjnqowlF+4Si/cMLs+7pVGz/9QjU7DYpxzq8r7wxe9fBFgwo+\n6TLu8OglSUYfk2Hw3vrUKyLlKx4zvnZiNSePz53B++xcncwhnUsFnxSkI3sxXv17nI3vGmMnVsaO\nTz1U4Si/cJRfOB217zvl4CT/9+lqLrmjmavvbaK5Avr61MMXDSr4pEusW2w889sER/4wRTzZ1Vsj\nItJ59h8V54Zv1PLOKucr0xpZuKKyvuKVrqGCTwrSEb0Y2TQ8/JMkB3whTb8dy//TbQv1UIWj/MJR\nfuF0dB9a7+65vr4TxyX46jUN3PtsqmyHblEPXzSo4JNO9/wf4yS7OXt+QqPQi0jlMjNOPCjJtHNq\nufOpND+8uYn1OotXikQFnxQkbC/G8leMOX9NMOHCFFZhv33qoQpH+YWj/MIpZh/aiLoY151Xw4A+\nxllXNDDrzfL6MKwevmiosLdc6UqphtxXuYeen6LH9l29NSIi0VGdNL52QjXfOaWKH/25id890Ew6\no6N90nFU8ElBwvRiPH1NgrrdnVGHV2aDsnqowlF+4Si/cDqrD23crgmuP7+WuYuzTL6msSzG7FMP\nXzSo4JNOseA/Md5+Nq6raYiIbEW/nsalE6s5Yp8EZ09r4O7/pMhkdbRPwlHBJwXZll6MhrXw6KVJ\nJnyvmeoeRdioEqEeqnCUXzjKL5zO7kOLxYzTDk1y1aRaHp6V5uxfNfLywtLs7VMPXzSo4JOics8V\ne7sclWHIPvqEKiJSiJ0GxZh2Tg1nHJbkBzc18fPbm1izUftSKZwKPilIob0Yr94XZ/0y48AvVsbV\nNNqiHqpwlF84yi+cruxDMzOO2i/BH79TS69a+Nwv6vnLk6mSOalDPXzRoIJPimb1AuOZ6xIc+YMU\n8aqu3hoRkdLWvcb46sermXZOLU/MSfOlqxp5cX5pfs0rnS/R1RsgpWXm7Cfa9Wlt7SLj3m9VcfB5\nKbYbWRqfQott8dPP6ChLCMovHOW3ZeNP6t2p63v67nWhn2NEXYwrJ9XwyEsZ/t+fm9h7ZIxzj6+i\nf69oHsNp7/uGFJcKPulw694x7vlGFR86K83oo0p/SAERKV/nLZ3frvk6omCeNmhkqOXzmRkT9k4w\nbtc4N/0rxZmXN/DZCVWcekiCRNw6bD1SPqL5cUAia2uf0jYsh3vOT7LfZ9KMOV5fNeTT0ZVwlF84\nyi+cqObXrdr4yrFVXPPVWp6bl+GzlzVw34xo9ffp6F40qOCTDrNpJfzt/Cr2OjXDHier2BMR6Sw7\nDIhx+ZequeC0ah6cmebTlzTwt/+kaE5Hp/CTrqWCTwrS2nhK9atzxd6Y4zLsfbqKvS3ROGjhKL9w\nlF84pZCfmbHvTnGumlTLDz9dzRMvZ/jU1Ab+8mSKplTXFX4ahy8aVPBJeLF+3PONKnY+IsN+n1Wx\nJyLS1fbcMc4vvlTDT75QzfOvZzhjagO3PpaioVlH/CqVCj4pyOa9GBvqndiQWxk+PssBZ6rYa0tU\ne4BKhfILR/mFU6r57TYszs/PquGyidXMWZjhjJ/X88d/N1Pf2HmFn3r4okEFn2yzTY3Ot6Y34g1P\nMe7sNKYTw0REImnnIXF+8vkarppUy5tLs5w+tZ7rH2zm3XUaSaFSqOCTgrT0YtQ3Od+e3siuQ2P4\nyh+p2GuHUugBijLlF47yC6dc8hsxMMZFn6nhmq/WsnqD84XLG7jwhkaefjVNJluco37q4YsGjcNX\nhoo+kKjVEht8E55awIsPf7e46xIRkQ63w/Yxvn1KNeceX8W/X0zzh4dSXH5XM8d/KMGxYxPU9dHx\noHKjgq9MtXcw0UKlm+D+C5N02w4mTNmfWPyUDh1MtJyVag9QVCi/cJRfOOWaX7dq4/ixSY4fm+SN\ndzLc+2yaiVc0sPvwOCccmBvYOexAzurhiwaV8NJua9427j6vipreMOGCFLF4V2+RiIh0lFGD43zj\n5Gru/H43Dt8rzp8eSXHazxqY/kAzS1er16/UqeCTrfIsvHRnnL9+tYq6UU/y0f9LEdOx4YKVSw9Q\nV1F+4Si/cCopv5oq45gDklw7uZbLv1zDpibny1c1cM7VDdzyaIolKwsr/tTDFw0V+ba9Zt1KZs5+\nvFPXucfosdRtP7RT19kRNiyHR6YmSTUap1zbzIa3szpBQ0SkQowcGOPrJ1Zz7nFVzHwzwxNzMpz7\n6xR9exof3iPOYXsmGDnQML0xRF5FFnxvL3mdqdO/yQ7jx3fK+pY8/zzf/fzUkir43GHegzGe/nWS\nvU5Ps+8nM8QS0HtoefaxdIZy7QHqLMovHOUXTqXnl0wYB45OcODoBN842Xl5YZbHZqeZckMjiTgc\ntkeCw/aIs9uwGLHYB4s/9fBFQ0UWfADbjRzFkb+f1inremji5E5ZT0dpWAuP/SLJ2kXGxy9vpv/O\nGpldRERy4jFjrxFx9hoRZ/LHndffyfL47AxT72hiYwMctkecA3eNs/eION1rdOQvKtTDJx+w4KkY\nt51VTe8hzmm/+99ir5L6WDqasgtH+YWj/MJRfltmZuwyJM6Xjq7i5m9348pJNfTvbdz2WIqTf1zP\npGkNXDz9EWbMy9Coy7p1qYo9wicf1LwJnro6wZJZMY66uJnBe+sPU0RECjN8QIzPTajicxOgKZX7\n6ve+x+EPDzfz+pIsOw+Jse9OcfYfFWfMDjGqkzoC2FlU8FU4d1g0I8Zjv0gw7ENZTr++mapurc9f\n6X0sYSi7cJRfOMovHOVXuOqksd+oOPuNOhyAhmZn9lsZZr6Z5dr7mlmwPMtuw2LsNSLOrsNijB4a\no38vffFYLCr4KlSqAeY9FGf2XXGyaTj0/DQ7jtc4SyIiUhy1VcbY0QnGjs7d39jgvPhWhjkLs9z5\nVJq5izNUJYxdh+aKv9FDY+w6LE7fHjoK2BFU8FWYdYuNOXfHee2BOIP3ynLw5DRD92//UCuLn35G\nn3S3kbILR/mFo/zCUX7bbubsJ7Z4pm6PWuPgMQkOHpO77+4sXePMXZRl7pIstz2eYu6SJrpVv18E\n7jIkxo51MQb0tv85G1japoKvAngW3n4uxuy74qx4NcZux2U47XfN9BqkPj0REYkGM2NwP2NwvxiH\n752b5u68s8p5bXGW1xZnufWxFAtXOBsbnGEDYuw4wNhh+xjD62IMHxBjaH+jKqFCcEtU8JWxpg3w\n2j/izP5rnKpusOcpGY7+cYpE9bY/pz7hbjtlF47yC0f5haP8tl2YcfjMjCH9jSH9Yxyxz/vTNzU6\nC1dkeXtFlgUrnIdmplm4IsuyNc6APsbwAbkCcFA/Y1BfY2C/GHV9jJqqyi0GVfCVmZXrsliPj/PI\nJQnmPxZnh3FZjvx+irrdXVfIEBGRstC9xhizQ5wxO3zwou6ptLNklfP2iiwL380yb0mWx2dnWbbW\nWb7G6V4DA/vGGNjXGNg3VxDW9TUG9Y2xfW+jew1le9WQohZ8ZnY0cCUQB6a7+yVbmOdXwDFAPXCm\nu89qa1kz6wfcBgwHFgCnu/va4LELgYlABviauz9YzNdXiB9cdiZcdmbHP3FyFFY7FmrHYrUHQqwn\n1vMT9B3ufOrmJrpt17GrUx/LtlN24Si/cJRfOMpv27XWw1cMyYSxY52xY93/nu2bzTqrN+YKv6Vr\nnGWrs7y5NMtTrzjL1mR5d52TzsB2PY3tehn9ehrb9TTu/PvPIL0Cz6yA9HJIvwuZlUC6aK/j6bvX\ndfhzFq3gM7M4cDVwJLAEmGFm97j7q3nzHAuMcvedzexA4Fpg3FaWnQI85O6XmtkFwf0pZjYGOAMY\nAwwBHjazXdw9Mqeenrd0fqjlM2lYOc9Y+lIs9292jGStM2gvZ9BeWQbtlaXvDs7VQ85in0+GW1dr\n3p3zinZ620jZhaP8wlF+4Si/bTfvrZcicXm1WMzo38vo3wt2H77leRqandXrnVUbcv9Wb3Cwasac\nNZX6VUb9aqN+ldGwDhLVUNPLqen9wZ/VvYL7wbTqnk5VD6ju7iS755Zr6yDitEEji/L6i3mEbyzw\nhrsvADCzW4ETgVfz5jkBuBHA3Z81sz5mNhAY0cayJwAfDpa/EXiUXNF3InCLu6eABWb2RrANJTM8\nejYNm1bBxuXGhuX23s+W2+uXGb0H54q7UUdkOPT8FD0GdO42Nq9f37krLCPKLhzlF47yC0f5bbuN\nm0onu9qqlp7B96ddftklTJgy6QPzeTZ3wYLG9UbjemhabzSua7lvrF1kNG2I5aZtMJo3QnN97qdn\nINkdqro5Vd0J/vl7P4n1LcprK2bBNwRYlHd/MXBgO+YZAgxuY9k6d18e3F4O1AW3B/PB4q7luTqV\nO6QboLkeUg1Gcz3U14+G7mnmPRijucFI1UOq3mjeBA1rjY0rjA3LjPrVUNsXetY5PeqcngOcfiOc\n4eOy9Khzeg3K/UKIiIhI17EYVPfMHb3rPQSg/aNeZFKQqoemTUZqEzRtgtQme+8n3lyUbS5mwdfe\nV9+e7kjb0vO5u5tZW+vZ4mPvrKnmnZXf4YaPvg4YjuVW4bFgoeD+e9MNJ457AojjHseJQ/DTPfHe\nbYhj1kTMGrBYIzFrJF1/OLFe+7DwmTjJWifZLVfZ9xwI24/OBgUedN/eiUf8NJr1ixZ39SaULGUX\njvILR/mFo/y23dIVC7t6EyIlnoR4b6jpnV+ivH/7kXM3FWW95l6csdjMbBxwsbsfHdy/EMjmn7hh\nZr8BHnX3W4P7r5H7unZEa8sG83zE3ZeZ2SDgEXff1cymALj71GCZB4CL3P3ZzbZLg8+JiIhIyXD3\n0KcOF/N40n+Bnc1sR+AdcidUfGqzee4BJgO3BgXiWndfbmar2lj2HuALwCXBz7vzpv/ZzH5JpR30\n1wAAB55JREFU7qvcnYHnNt+ojghNREREpJQUreBz97SZTQb+SW5old+7+6tmNil4/Dp3v9/Mjg1O\nsNgEnNXWssFTTwVuN7MvEgzLEizzipndDrxC7lzpc71Yhy9FRERESkjRvtIVERERkWj435EJS5iZ\nDTOzR8zsZTObY2ZfC6b3M7OHzGyemT1oZn3ylrnQzF43s9fM7Kiu2/roMLO4mc0ys3uD+8qvnYKh\nhf5iZq+a2StmdqDya58gi5fNbLaZ/dnMqpVd68zsejNbbmaz86YVnJeZ7R9k/rqZXdXZr6OrtJLf\nZcHf7otmdpeZ9c57TPkFtpRd3mPfMrOs5S6S0DJN2eVpLT8zOy/4/ZtjZvnnO3RMfu5eNv+AgcA+\nwe0ewFxgN+BS4LvB9AuAqcHtMcALQBLYEXgDiHX16+jqf8A3gT8B9wT3lV/7s7sRmBjcTgC9lV+7\nctsRmA9UB/dvI9ejq+xaz+xQYF9gdt60QvJq+YbnOWBscPt+4Oiufm1dmN9HW36PyLUPKb92ZhdM\nHwY8ALwF9FN2Bf3uHQ48BCSD+9t3dH5ldYTP3Ze5+wvB7Y3kBmoeQt4Az8HPk4Lb7w3W7LlBnlsG\na65YZjYUOBaYzvtD5ii/dgiOBhzq7tdDrhfV3deh/NpjPZACuplZAuhG7oQtZdcKd38CWLPZ5ELy\nOtByIx30dPeWE9xuylumrG0pP3d/yN+/OtOzwNDgtvLL08rvHsAvge9uNk3ZbaaV/M4Bfu65i0fg\n7u8G0zssv7Iq+PJZ7gzffcn90bY1WHP+4EpdMlhzxFwBfAfIvySd8mufEcC7ZnaDmc00s9+ZWXeU\n31a5+2rgcuBtcoXeWnd/CGVXqELz2nz6EpRji4nkjpqA8tsqMzsRWOzuL232kLJrn52Bw8zsGTN7\n1MwOCKZ3WH5lWfCZWQ/gTuDr7r4h/zHPHfsseLDmSmBmxwMr3H0WrQyIrfzalAD2A65x9/3InXk+\nJX8G5bdlZrYTcD65rywGAz3M7LP58yi7wrQjL2mFmX0faHb3P3f1tpQCM+sGfA+4KH9yF21OqUoA\nfd19HLmDLrd39ArKruAzsyS5Yu9md28Zo2+55a7RS3AYdEUwfQm5noMWQ4NplWo8cIKZvQXcAkww\ns5tRfu21mNwn3BnB/b+QKwCXKb+tOgB42t1XuXsauAs4CGVXqEL+VhcH04duNr2iczSzM8m1tXwm\nb7Lya9tO5D6svRi8fwwFnjezOpRdey0mt98jeA/Jmll/OjC/sir4zMyA3wOvuPuVeQ+1DNYM/ztY\n8yfNrMrMRtDKYM2Vwt2/5+7D3H0E8Eng3+7+OZRfu7j7MmCRme0STDoSeBm4F+W3Na8B48ysNvg7\nPpLcmJrKrjAF/a0Gv7PrLXc2uQGfy1um4pjZ0eSOrpzo7o15Dym/Nrj7bHevc/cRwfvHYmC/oL1A\n2bXP3cAEgOA9pMrdV9KR+XX12Sod+Q84hFzv2QvArODf0UA/4GFgHvAg0Cdvme+Ra4J8DfhYV7+G\nqPwjd4m7lrN0lV/7c9sbmAG8SO7TWm/l1+7svkuuQJ5N7oSDpLJrM69byPU7NgOLyA1cX3BewP5B\n5m8Av+rq19WF+U0EXgcW5r1/XKP82syuqeV3b7PH5xOcpavs2pdfsL+7OcjjeXKXkO3Q/DTwsoiI\niEiZK6uvdEVERETkf6ngExERESlzKvhEREREypwKPhEREZEyp4JPREREpMyp4BMREREpcyr4RKTi\nmNn3zWyOmb1oZrPMbKyZfd3Matux7Pn585nZfWbWq6PmFxEpBo3DJyIVxcwOAi4HPuzuKTPrB9QA\nTwEHuPuqrSz/Vnvm29b5RUSKQUf4RKTSDARWunsKwN1XA6cCg4FHzOxfAGZ2rZnNCI4EXhxM+9oW\n5ltgZv3MrHtw9O4FM5ttZqeb2XmtzR/c/nxwlPEFM7sxmHZasPwLZvZYJ+YiImVMR/hEpKKYWXfg\nSaAbucuQ3ebujwdH4vYPCkDMrK+7rzGzeDDfee4+ZwvzvUXuEkeHk7vs0dnB9J7uvqGN+QeRu/ze\nQe6+2sz6uPtaM3speJ6lZtbL3dd3WjgiUrZ0hE9EKoq7byJXcJ0NvAvcZmZnBg9b3qxnmNnzwExg\nd2DMVp76JeCjZjbVzA5x9w1tzGvkLpR+e0sh6O5rg8eeAm40sy8Bifa/MhGR1mlnIiIVx92zwGPA\nY2Y2Gziz5SEAMxsBfItc7906M7uBXJ9fW8/5upntCxwH/MTM/uXuP25rET5YYLY8zzlmNjZ4nufN\n7L2jgyIi20pH+ESkopjZLma2c96kfYEFwAag5ezZXsAmYL2Z1QHH5M2fP1/+8w4CGt39T8Avgudt\nbX4H/g2cltfP1zf4uZO7P+fuF5E7Ajl0G1+qiMh7dIRPRCpND2CamfUB0sDr5L7e/TTwgJktcfcj\nzGwW8BqwiFzPX4vf5s+XN31P4DIzywIp4Cttze/ur5jZT8kdZcyQ++p4InBpUJAa8LC7v9ThCYhI\nxdFJGyIiIiJlTl/pioiIiJQ5FXwiIiIiZU4Fn4iIiEiZU8EnIiIiUuZU8ImIiIiUORV8IiIiImVO\nBZ+IiIhImVPBJyIiIlLm/j9zh0xbkyFzGwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112b08a10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for col in columns_of_interest:\n",
    "    plot_mom(df, col)\n",
    "    fig.savefig('images/'+col)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>stat_name</th>\n",
       "      <th>Background CPU(s)</th>\n",
       "      <th>Block changes</th>\n",
       "      <th>DB CPU(s)</th>\n",
       "      <th>DB Time(s)</th>\n",
       "      <th>Executes (SQL)</th>\n",
       "      <th>...</th>\n",
       "      <th>Session Logical Read IM</th>\n",
       "      <th>Transactions</th>\n",
       "      <th>User calls</th>\n",
       "      <th>Write IO (MB)</th>\n",
       "      <th>Write IO requests</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>start_time</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>01-APR-15 08.00.00.000000 AM</th>\n",
       "      <td>2.34</td>\n",
       "      <td>7171.66</td>\n",
       "      <td>8.34</td>\n",
       "      <td>21.33</td>\n",
       "      <td>7295.85</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>342.13</td>\n",
       "      <td>3172.36</td>\n",
       "      <td>7.38</td>\n",
       "      <td>791.23</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01-APR-15 10.00.00.000000 PM</th>\n",
       "      <td>1.88</td>\n",
       "      <td>5829.02</td>\n",
       "      <td>5.75</td>\n",
       "      <td>14.98</td>\n",
       "      <td>4943.24</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>243.01</td>\n",
       "      <td>2288.04</td>\n",
       "      <td>5.59</td>\n",
       "      <td>603.88</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01-JAN-15 08.00.00.000000 AM</th>\n",
       "      <td>NaN</td>\n",
       "      <td>1746.34</td>\n",
       "      <td>1.80</td>\n",
       "      <td>4.07</td>\n",
       "      <td>2277.13</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>139.59</td>\n",
       "      <td>970.47</td>\n",
       "      <td>1.61</td>\n",
       "      <td>162.10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01-JUL-15 08.00.00.000000 AM</th>\n",
       "      <td>2.07</td>\n",
       "      <td>6530.64</td>\n",
       "      <td>6.92</td>\n",
       "      <td>18.46</td>\n",
       "      <td>6485.98</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>334.05</td>\n",
       "      <td>3064.53</td>\n",
       "      <td>6.76</td>\n",
       "      <td>721.93</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01-JUL-15 10.00.00.000000 PM</th>\n",
       "      <td>1.80</td>\n",
       "      <td>5853.14</td>\n",
       "      <td>5.19</td>\n",
       "      <td>14.20</td>\n",
       "      <td>4787.97</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>259.02</td>\n",
       "      <td>2370.28</td>\n",
       "      <td>5.70</td>\n",
       "      <td>606.48</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 24 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "stat_name                     Background CPU(s)  Block changes  DB CPU(s)  \\\n",
       "start_time                                                                  \n",
       "01-APR-15 08.00.00.000000 AM               2.34        7171.66       8.34   \n",
       "01-APR-15 10.00.00.000000 PM               1.88        5829.02       5.75   \n",
       "01-JAN-15 08.00.00.000000 AM                NaN        1746.34       1.80   \n",
       "01-JUL-15 08.00.00.000000 AM               2.07        6530.64       6.92   \n",
       "01-JUL-15 10.00.00.000000 PM               1.80        5853.14       5.19   \n",
       "\n",
       "stat_name                     DB Time(s)  Executes (SQL)        ...          \\\n",
       "start_time                                                      ...           \n",
       "01-APR-15 08.00.00.000000 AM       21.33         7295.85        ...           \n",
       "01-APR-15 10.00.00.000000 PM       14.98         4943.24        ...           \n",
       "01-JAN-15 08.00.00.000000 AM        4.07         2277.13        ...           \n",
       "01-JUL-15 08.00.00.000000 AM       18.46         6485.98        ...           \n",
       "01-JUL-15 10.00.00.000000 PM       14.20         4787.97        ...           \n",
       "\n",
       "stat_name                     Session Logical Read IM  Transactions  \\\n",
       "start_time                                                            \n",
       "01-APR-15 08.00.00.000000 AM                      NaN        342.13   \n",
       "01-APR-15 10.00.00.000000 PM                      NaN        243.01   \n",
       "01-JAN-15 08.00.00.000000 AM                      NaN        139.59   \n",
       "01-JUL-15 08.00.00.000000 AM                      NaN        334.05   \n",
       "01-JUL-15 10.00.00.000000 PM                      NaN        259.02   \n",
       "\n",
       "stat_name                     User calls  Write IO (MB)  Write IO requests  \n",
       "start_time                                                                  \n",
       "01-APR-15 08.00.00.000000 AM     3172.36           7.38             791.23  \n",
       "01-APR-15 10.00.00.000000 PM     2288.04           5.59             603.88  \n",
       "01-JAN-15 08.00.00.000000 AM      970.47           1.61             162.10  \n",
       "01-JUL-15 08.00.00.000000 AM     3064.53           6.76             721.93  \n",
       "01-JUL-15 10.00.00.000000 PM     2370.28           5.70             606.48  \n",
       "\n",
       "[5 rows x 24 columns]"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This above function would generate the MOM estimate for any database statistic that we would want.\n",
    "For example if we want to predict MOM's for \"Global Cache blocks served\", we just need to call this function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAoYAAAHBCAYAAAD0P3owAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nERERAeD/A9yPmcR9LrA/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111306fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_mom(df,'Global Cache blocks received')\n",
    "fig.savefig('images/cache_blocks.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For \"Rollbacks\" example our estimation is:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnMAAAHBCAYAAAACWj3tAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niIiIaLAkcxERERENlmQuIiIiosH+CxdbebZ+AqFeAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111dfab10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_mom(df,'Rollbacks')\n",
    "fig.savefig('images/rollbacks.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion:\n",
    "\n",
    "As we can we our estimations (plotted in red) are pretty good estimation of our actual values that we observe in our real outputs. This concludes our discussion on MOM estimators on database statistics."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}